2564525412 has 72 divisors (see below), whose sum is σ = 6909581952. Its totient is φ = 799200000.

The previous prime is 2564525407. The next prime is 2564525423. The reversal of 2564525412 is 2145254652.

2564525412 is a `hidden beast` number, since 2 + 5 + 64 + 52 + 541 + 2 = 666.

2564525412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78537 + ... + 106287.

It is an arithmetic number, because the mean of its divisors is an integer number (95966416).

Almost surely, 2^2564525412 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 2564525412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454790976).

2564525412 is an abundant number, since it is smaller than the sum of its proper divisors (4345056540).

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

2564525412 is a wasteful number, since it uses less digits than its factorization.

2564525412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27929 (or 27924 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2564525412 is about 50641.1434705023. The cubic root of 2564525412 is about 1368.7863605028.

The spelling of 2564525412 in words is "two billion, five hundred sixty-four million, five hundred twenty-five thousand, four hundred twelve".