2564678385 has 24 divisors (see below), whose sum is σ = 4446622440. Its totient is φ = 1367465472.

The previous prime is 2564678323. The next prime is 2564678393. The reversal of 2564678385 is 5838764652.

2564678385 is a `hidden beast` number, since 2 + 564 + 6 + 78 + 3 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66977856 + 2497700529 = 8184^2 + 49977^2 .

It is not a de Polignac number, because 2564678385 - 2¹⁶ = 2564612849 is a prime.

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, 315897 + ... + 323913.

It is an arithmetic number, because the mean of its divisors is an integer number (185275935).

Almost surely, 2^2564678385 is an apocalyptic number.

It is an amenable number.

2564678385 is a deficient number, since it is larger than the sum of its proper divisors (1881944055).

2564678385 is a wasteful number, since it uses less digits than its factorization.

2564678385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15137 (or 15134 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 2564678385 is about 50642.6538107947. The cubic root of 2564678385 is about 1368.8135758297.

The spelling of 2564678385 in words is "two billion, five hundred sixty-four million, six hundred seventy-eight thousand, three hundred eighty-five".