2656138560 has 112 divisors (see below), whose sum is σ = 8487436416. Its totient is φ = 703752192.

The previous prime is 2656138543. The next prime is 2656138561. The reversal of 2656138560 is 658316562.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656138561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141909 + ... + 159531.

Almost surely, 2^2656138560 is an apocalyptic number.

2656138560 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 2656138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243718208).

2656138560 is an abundant number, since it is smaller than the sum of its proper divisors (5831297856).

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

2656138560 is a wasteful number, since it uses less digits than its factorization.

2656138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17800 (or 17790 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 2656138560 is about 51537.7391820790. The cubic root of 2656138560 is about 1384.8951964035.

The spelling of 2656138560 in words is "two billion, six hundred fifty-six million, one hundred thirty-eight thousand, five hundred sixty".