2559772090944 has 84 divisors (see below), whose sum is σ = 7590128860860. Its totient is φ = 823834690560.

The previous prime is 2559772090901. The next prime is 2559772090949. The reversal of 2559772090944 is 4490902779552.

2559772090944 is a `hidden beast` number, since 2 + 559 + 7 + 72 + 0 + 9 + 0 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 720189849600 + 1839582241344 = 848640^2 + 1356312^2 .

It is a super-2 number, since 2×2559772090944² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2559772090949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76604827 + ... + 76638234.

It is an arithmetic number, because the mean of its divisors is an integer number (90358676915).

Almost surely, 2^{2559772090944} is an apocalyptic number.

2559772090944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2559772090944 is an abundant number, since it is smaller than the sum of its proper divisors (5030356769916).

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

2559772090944 is a wasteful number, since it uses less digits than its factorization.

2559772090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153243108 (or 153243095 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 2559772090944 in words is "two trillion, five hundred fifty-nine billion, seven hundred seventy-two million, ninety thousand, nine hundred forty-four".