2564352721 has 8 divisors (see below), whose sum is σ = 2990499200. Its totient is φ = 2198016324.

The previous prime is 2564352683. The next prime is 2564352733. The reversal of 2564352721 is 1272534652.

2564352721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564352721 - 2²¹ = 2562255569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564352761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3737781 + ... + 3738466.

It is an arithmetic number, because the mean of its divisors is an integer number (373812400).

Almost surely, 2^2564352721 is an apocalyptic number.

It is an amenable number.

2564352721 is a deficient number, since it is larger than the sum of its proper divisors (426146479).

2564352721 is an frugal number, since it uses more digits than its factorization.

2564352721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476268 (or 7476254 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 2564352721 is about 50639.4383953851. The cubic root of 2564352721 is about 1368.7556358587.

The spelling of 2564352721 in words is "two billion, five hundred sixty-four million, three hundred fifty-two thousand, seven hundred twenty-one".