2560996656 has 80 divisors (see below), whose sum is σ = 7409049600. Its totient is φ = 846925632.

The previous prime is 2560996649. The next prime is 2560996661. The reversal of 2560996656 is 6566990652.

2560996656 is a `hidden beast` number, since 25 + 609 + 9 + 6 + 6 + 5 + 6 = 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 15 ways as a sum of consecutive naturals, for example, 31525 + ... + 78203.

It is an arithmetic number, because the mean of its divisors is an integer number (92613120).

Almost surely, 2^2560996656 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 2560996656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704524800).

2560996656 is an abundant number, since it is smaller than the sum of its proper divisors (4848052944).

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

2560996656 is a wasteful number, since it uses less digits than its factorization.

2560996656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46823 (or 46811 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 2560996656 is about 50606.2906761600. The cubic root of 2560996656 is about 1368.1582611610.

It can be divided in two parts, 2560996 and 656, that added together give a palindrome (2561652).

The spelling of 2560996656 in words is "two billion, five hundred sixty million, nine hundred ninety-six thousand, six hundred fifty-six".