2564672720 has 20 divisors (see below), whose sum is σ = 5962864260. Its totient is φ = 1025869056.

The previous prime is 2564672701. The next prime is 2564672731. The reversal of 2564672720 is 272764652.

2564672720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 973939264 + 1590733456 = 31208^2 + 39884^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16029125 + ... + 16029284.

It is an arithmetic number, because the mean of its divisors is an integer number (298143213).

Almost surely, 2^2564672720 is an apocalyptic number.

2564672720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564672720 is an abundant number, since it is smaller than the sum of its proper divisors (3398191540).

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

2564672720 is a wasteful number, since it uses less digits than its factorization.

2564672720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32058422 (or 32058416 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 2564672720 is about 50642.5978796507. The cubic root of 2564672720 is about 1368.8125679926.

The spelling of 2564672720 in words is "two billion, five hundred sixty-four million, six hundred seventy-two thousand, seven hundred twenty".