2568037803264 has 288 divisors, whose sum is σ = 7692156420480. Its totient is φ = 845015040000.

The previous prime is 2568037803223. The next prime is 2568037803307. The reversal of 2568037803264 is 4623087308652.

2568037803264 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 0 + 378 + 0 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2568037803264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242239564 + ... + 242250164.

It is an arithmetic number, because the mean of its divisors is an integer number (26708876460).

Almost surely, 2^{2568037803264} is an apocalyptic number.

2568037803264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2568037803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846078210240).

2568037803264 is an abundant number, since it is smaller than the sum of its proper divisors (5124118617216).

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

2568037803264 is a wasteful number, since it uses less digits than its factorization.

2568037803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074 (or 11054 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2568037803264 in words is "two trillion, five hundred sixty-eight billion, thirty-seven million, eight hundred three thousand, two hundred sixty-four".