2520 equals Sum of 4 Divisors in 6 Ways

Theorem

The number $2520$ can be expressed as the sum of $4$ of its divisors in $6$ different ways:

 $\displaystyle 2520$ $=$ $\displaystyle 1260 + 630 + 504 + 126$ $\quad$ $\quad$ $\displaystyle$ $=$ $\displaystyle 1260 + 630 + 421 + 210$ $\quad$ $\quad$ $\displaystyle$ $=$ $\displaystyle 1260 + 840 + 360 + 60$ $\quad$ $\quad$ $\displaystyle$ $=$ $\displaystyle 1260 + 840 + 315 + 105$ $\quad$ $\quad$ $\displaystyle$ $=$ $\displaystyle 1260 + 840 + 280 + 140$ $\quad$ $\quad$ $\displaystyle$ $=$ $\displaystyle 1260 + 840 + 252 + 168$ $\quad$ $\quad$

This is the maximum possible number of ways it is possible to express an integer as the sum of $4$ of its divisors.