2564027136 has 252 divisors, whose sum is σ = 8377845000. Its totient is φ = 776355840.

The previous prime is 2564027113. The next prime is 2564027173. The reversal of 2564027136 is 6317204652.

2564027136 is a `hidden beast` number, since 2 + 5 + 640 + 2 + 7 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2564027136.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2052240 + ... + 2053488.

Almost surely, 2^2564027136 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 2564027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188922500).

2564027136 is an abundant number, since it is smaller than the sum of its proper divisors (5813817864).

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

2564027136 is an equidigital number, since it uses as much as digits as its factorization.

2564027136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2564027136 is about 50636.2235558696. The cubic root of 2564027136 is about 1368.6977050390.

The spelling of 2564027136 in words is "two billion, five hundred sixty-four million, twenty-seven thousand, one hundred thirty-six".