2564902704 has 160 divisors (see below), whose sum is σ = 8235695104. Its totient is φ = 669772800.

The previous prime is 2564902679. The next prime is 2564902741. The reversal of 2564902704 is 4072094652.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447054 + ... + 452754.

Almost surely, 2^2564902704 is an apocalyptic number.

2564902704 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 2564902704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117847552).

2564902704 is an abundant number, since it is smaller than the sum of its proper divisors (5670792400).

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

2564902704 is a wasteful number, since it uses less digits than its factorization.

2564902704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2564902704 is about 50644.8684863531. The cubic root of 2564902704 is about 1368.8534823203.

The spelling of 2564902704 in words is "two billion, five hundred sixty-four million, nine hundred two thousand, seven hundred four".