2516717726468 has 48 divisors (see below), whose sum is σ = 5173493976000. Its totient is φ = 1058422010880.

The previous prime is 2516717726449. The next prime is 2516717726483. The reversal of 2516717726468 is 8646277176152.

It is a super-2 number, since 2×2516717726468² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2516717726468.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28469393 + ... + 28557656.

It is an arithmetic number, because the mean of its divisors is an integer number (107781124500).

Almost surely, 2^{2516717726468} is an apocalyptic number.

It is an amenable number.

2516717726468 is an abundant number, since it is smaller than the sum of its proper divisors (2656776249532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2516717726468 is a wasteful number, since it uses less digits than its factorization.

2516717726468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57027140 (or 57027138 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 62.

The spelling of 2516717726468 in words is "two trillion, five hundred sixteen billion, seven hundred seventeen million, seven hundred twenty-six thousand, four hundred sixty-eight".