To quickly find all the numbers 2520 can be evenly divided by, I wrote a simple program to check divisibilty for me. Its simple but pretty cool.

#include <iostream>

int main()
{

  long int counter = 0;
  float F;
  long int I;
  long int N = 2520;

  for (float i = 1; i <= N; i++)
  {

    F = N/i;
    I = F;


    if (I == F) { std::cout << " " << i << ","; counter++;}

  }

std::cout << "\n\n  " << counter << " found\n";

  return 0;

}


}

It simply checks the divisibility of N by dividing by every integer from 1 to N. Each time the quotient is assigned to a float variable "F" which strores a decimal number. Then an integer variable I is assigned the  value of F. In C++, if a decimal number is assigned to an integer, the value will be truncated (basicly anything behind the decimal point is "chopped off"). The program then checks to see if I and F are equal. If they are, that means the integer was not truncated, which only happens if the float value was an integer. Which would only happen if N was divided by a divisble number. So if F and I are equal, the number checked is printed. :-)

I tried assigning N a value of 232,792,560 but for some reason it didn't work. Just spat out every number from between 1 and N and crashed hafway. Maybe too large a number...

Fascinating stuff!

720,720 seems even more magical because of the repeated numbers.

I wonder what 2520 would look like in other bases?

100110100000 in binary, 9D8 in hex, 10230 in 7..... that's all I care about

IMHO 65536 is way cooler than 2520.
65536 = 2^2^2^2. That's 2 to it's own power 2^2 times.

You can compute the number
p_1p_2..p_n, which will be divisible to all the numbers less than p_n+1.

Othen easy-to-remember numbers are:
510510 which is divisible to all numbes less than 19
9699690 -//- to all<23
Up to
125468249177422704873057441198265167787559733358158169962944986266696409522664\
838749597773492757291842527159639796689556759017016285579548286320186227272766\
165197163269594602008771743253300924706081546906873165900298789082674560906079\
856481025298916728267733098788961332559413072403989323365304158393895684891063\
875936658095458174029029411209474267592081293674698128271264634147613494631818\
195639290031311461367704339650484668757761790715896528147421600075132164763634\
038186948603982465875980085049712183867633467531972781913315834804381159682635\
298479358050289946346623166324630256580401063842526350008401664018893489414182\
30630291758422303205747023179473557711721130190
it doesn't seem to be other "easy-to-remember" number.

ya, swweett