2564987304 has 32 divisors (see below), whose sum is σ = 6995420640. Its totient is φ = 777268800.

The previous prime is 2564987287. The next prime is 2564987317. The reversal of 2564987304 is 4037894652.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4857667 + ... + 4858194.

It is an arithmetic number, because the mean of its divisors is an integer number (218606895).

Almost surely, 2^2564987304 is an apocalyptic number.

2564987304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2564987304 is an abundant number, since it is smaller than the sum of its proper divisors (4430433336).

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

2564987304 is a wasteful number, since it uses less digits than its factorization.

2564987304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9715881 (or 9715877 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 2564987304 is about 50645.7037072248. The cubic root of 2564987304 is about 1368.8685321090.

The spelling of 2564987304 in words is "two billion, five hundred sixty-four million, nine hundred eighty-seven thousand, three hundred four".