2560316812416 has 160 divisors (see below), whose sum is σ = 8312140021680. Its totient is φ = 775853544960.

The previous prime is 2560316812399. The next prime is 2560316812429. The reversal of 2560316812416 is 6142186130652.

2560316812416 is a `hidden beast` number, since 2 + 5 + 60 + 3 + 168 + 12 + 416 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11110686 + ... + 11338781.

Almost surely, 2^{2560316812416} is an apocalyptic number.

It is an amenable number.

2560316812416 is an abundant number, since it is smaller than the sum of its proper divisors (5751823209264).

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

2560316812416 is a wasteful number, since it uses less digits than its factorization.

2560316812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22449504 (or 22449483 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2560316812416 in words is "two trillion, five hundred sixty billion, three hundred sixteen million, eight hundred twelve thousand, four hundred sixteen".