2560251657024 has 42 divisors (see below), whose sum is σ = 7338499108850. Its totient is φ = 853417218816.

The previous prime is 2560251657001. The next prime is 2560251657031. The reversal of 2560251657024 is 4207561520652.

2560251657024 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 2 + 51 + 6 + 570 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1614627662400 + 945623994624 = 1270680^2 + 972432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2222440099 + ... + 2222441250.

Almost surely, 2^{2560251657024} is an apocalyptic number.

2560251657024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2560251657024 is an abundant number, since it is smaller than the sum of its proper divisors (4778247451826).

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

2560251657024 is a wasteful number, since it uses less digits than its factorization.

2560251657024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444881367 (or 4444881354 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2560251657024 in words is "two trillion, five hundred sixty billion, two hundred fifty-one million, six hundred fifty-seven thousand, twenty-four".