2564205381 has 6 divisors (see below), whose sum is σ = 3703852230. Its totient is φ = 1709470248.

The previous prime is 2564205377. The next prime is 2564205383. The reversal of 2564205381 is 1835024652.

2564205381 is a `hidden beast` number, since 2 + 5 + 642 + 0 + 5 + 3 + 8 + 1 = 666.

2564205381 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 only one way, i.e., 1813993281 + 750212100 = 42591^2 + 27390^2 .

It is not a de Polignac number, because 2564205381 - 2² = 2564205377 is a prime.

It is a super-2 number, since 2×2564205381² = 13150298471898710322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564205383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142455846 + ... + 142455863.

It is an arithmetic number, because the mean of its divisors is an integer number (617308705).

Almost surely, 2^2564205381 is an apocalyptic number.

It is an amenable number.

2564205381 is a deficient number, since it is larger than the sum of its proper divisors (1139646849).

2564205381 is a wasteful number, since it uses less digits than its factorization.

2564205381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284911715 (or 284911712 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2564205381 is about 50637.9835795226. The cubic root of 2564205381 is about 1368.7294204950.

The spelling of 2564205381 in words is "two billion, five hundred sixty-four million, two hundred five thousand, three hundred eighty-one".