2560614436864 has 117 divisors (see below), whose sum is σ = 5630909494609. Its totient is φ = 1163403591680.

The previous prime is 2560614436813. The next prime is 2560614436883. The reversal of 2560614436864 is 4686344160652.

The square root of 2560614436864 is 1600192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2280341606400 + 280272830464 = 1510080^2 + 529408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1126534032 + ... + 1126536304.

Almost surely, 2^{2560614436864} is an apocalyptic number.

2560614436864 is the 1600192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560614436864

2560614436864 is an abundant number, since it is smaller than the sum of its proper divisors (3070295057745).

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

2560614436864 is an frugal number, since it uses more digits than its factorization.

2560614436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 55.

The spelling of 2560614436864 in words is "two trillion, five hundred sixty billion, six hundred fourteen million, four hundred thirty-six thousand, eight hundred sixty-four".