2656642536 has 80 divisors (see below), whose sum is σ = 7462002240. Its totient is φ = 883055520.

The previous prime is 2656642481. The next prime is 2656642589. The reversal of 2656642536 is 6352466562.

2656642536 is a `hidden beast` number, since 2 + 6 + 56 + 64 + 2 + 536 = 666.

2656642536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2656642536² = 14115499128169022592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2656642491 and 2656642500.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232231 + ... + 243401.

It is an arithmetic number, because the mean of its divisors is an integer number (93275028).

Almost surely, 2^2656642536 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 2656642536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731001120).

2656642536 is an abundant number, since it is smaller than the sum of its proper divisors (4805359704).

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

2656642536 is a wasteful number, since it uses less digits than its factorization.

2656642536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11556 (or 11543 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 2656642536 is about 51542.6283381048. The cubic root of 2656642536 is about 1384.9827809160.

The spelling of 2656642536 in words is "two billion, six hundred fifty-six million, six hundred forty-two thousand, five hundred thirty-six".