2560256584704 has 1408 divisors, whose sum is σ = 10016452454400. Its totient is φ = 634652983296.

The previous prime is 2560256584679. The next prime is 2560256584741. The reversal of 2560256584704 is 4074856520652.

2560256584704 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 2 + 56 + 584 + 7 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3464487567 + ... + 3464488305.

Almost surely, 2^{2560256584704} is an apocalyptic number.

2560256584704 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 2560256584704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008226227200).

2560256584704 is an abundant number, since it is smaller than the sum of its proper divisors (7456195869696).

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

2560256584704 is an equidigital number, since it uses as much as digits as its factorization.

2560256584704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 2560256584704 in words is "two trillion, five hundred sixty billion, two hundred fifty-six million, five hundred eighty-four thousand, seven hundred four".