2564874609 has 32 divisors (see below), whose sum is σ = 4017185280. Its totient is φ = 1438214400.

The previous prime is 2564874551. The next prime is 2564874629. The reversal of 2564874609 is 9064784652.

It is not a de Polignac number, because 2564874609 - 2¹⁶ = 2564809073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2564874629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5647 + ... + 71844.

It is an arithmetic number, because the mean of its divisors is an integer number (125537040).

Almost surely, 2^2564874609 is an apocalyptic number.

It is an amenable number.

2564874609 is a deficient number, since it is larger than the sum of its proper divisors (1452310671).

2564874609 is a wasteful number, since it uses less digits than its factorization.

2564874609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77581.

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 2564874609 is about 50644.5911129708. The cubic root of 2564874609 is about 1368.8484843296.

The spelling of 2564874609 in words is "two billion, five hundred sixty-four million, eight hundred seventy-four thousand, six hundred nine".