2564413704 has 96 divisors (see below), whose sum is σ = 7416002880. Its totient is φ = 798602112.

The previous prime is 2564413667. The next prime is 2564413741. The reversal of 2564413704 is 4073144652.

2564413704 is a `hidden beast` number, since 2 + 5 + 644 + 1 + 3 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2564413667) and next prime (2564413741).

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, 53202 + ... + 89214.

It is an arithmetic number, because the mean of its divisors is an integer number (77250030).

Almost surely, 2^2564413704 is an apocalyptic number.

2564413704 is a gapful number since it is divisible by the number (24) 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 2564413704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708001440).

2564413704 is an abundant number, since it is smaller than the sum of its proper divisors (4851589176).

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

2564413704 is a wasteful number, since it uses less digits than its factorization.

2564413704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36091 (or 36084 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2564413704 is about 50640.0405213108. The cubic root of 2564413704 is about 1368.7664859214.

The spelling of 2564413704 in words is "two billion, five hundred sixty-four million, four hundred thirteen thousand, seven hundred four".