2656168580 has 96 divisors (see below), whose sum is σ = 6382787040. Its totient is φ = 921231360.

The previous prime is 2656168579. The next prime is 2656168589. The reversal of 2656168580 is 858616562.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 500237956 + 2155930624 = 22366^2 + 46432^2 .

It is not an unprimeable number, because it can be changed into a prime (2656168589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274220 + ... + 283740.

It is an arithmetic number, because the mean of its divisors is an integer number (66487365).

Almost surely, 2^2656168580 is an apocalyptic number.

2656168580 is a gapful number since it is divisible by the number (20) 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 2656168580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191393520).

2656168580 is an abundant number, since it is smaller than the sum of its proper divisors (3726618460).

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

2656168580 is a wasteful number, since it uses less digits than its factorization.

2656168580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9609 (or 9607 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The square root of 2656168580 is about 51538.0304241441. The cubic root of 2656168580 is about 1384.9004138017.

The spelling of 2656168580 in words is "two billion, six hundred fifty-six million, one hundred sixty-eight thousand, five hundred eighty".