2564344260 has 72 divisors (see below), whose sum is σ = 8236080216. Its totient is φ = 643599360.

The previous prime is 2564344231. The next prime is 2564344297. The reversal of 2564344260 is 624434652.

2564344260 is a `hidden beast` number, since 2 + 5 + 643 + 4 + 4 + 2 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1226540484 + 1337803776 = 35022^2 + 36576^2 .

It is a super-2 number, since 2×2564344260² = 13151722967589895200, which contains 22 as substring.

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, 415951 + ... + 422070.

It is an arithmetic number, because the mean of its divisors is an integer number (114390003).

Almost surely, 2^2564344260 is an apocalyptic number.

2564344260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564344260 is an abundant number, since it is smaller than the sum of its proper divisors (5671735956).

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

2564344260 is a wasteful number, since it uses less digits than its factorization.

2564344260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838053 (or 838048 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2564344260 is about 50639.3548537104. The cubic root of 2564344260 is about 1368.7541304686.

The spelling of 2564344260 in words is "two billion, five hundred sixty-four million, three hundred forty-four thousand, two hundred sixty".