2560657044 has 96 divisors (see below), whose sum is σ = 6612802560. Its totient is φ = 764755200.

The previous prime is 2560657019. The next prime is 2560657063. The reversal of 2560657044 is 4407560652.

It is a junction number, because it is equal to n+sod(n) for n = 2560656993 and 2560657011.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 4499992 + ... + 4500560.

It is an arithmetic number, because the mean of its divisors is an integer number (68883360).

Almost surely, 2^2560657044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560657044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306401280).

2560657044 is an abundant number, since it is smaller than the sum of its proper divisors (4052145516).

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

2560657044 is a wasteful number, since it uses less digits than its factorization.

2560657044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 2560657044 is about 50602.9351322628. The cubic root of 2560657044 is about 1368.0977816464.

The spelling of 2560657044 in words is "two billion, five hundred sixty million, six hundred fifty-seven thousand, forty-four".