2564867305 has 128 divisors (see below), whose sum is σ = 4351721472. Its totient is φ = 1399680000.

The previous prime is 2564867251. The next prime is 2564867317. The reversal of 2564867305 is 5037684652.

It is not a de Polignac number, because 2564867305 - 2⁷ = 2564867177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9464320 + ... + 9464590.

It is an arithmetic number, because the mean of its divisors is an integer number (33997824).

Almost surely, 2^2564867305 is an apocalyptic number.

It is an amenable number.

2564867305 is a deficient number, since it is larger than the sum of its proper divisors (1786854167).

2564867305 is a wasteful number, since it uses less digits than its factorization.

2564867305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399.

The product of its (nonzero) digits is 1209600, while the sum is 46.

The square root of 2564867305 is about 50644.5190025535. The cubic root of 2564867305 is about 1368.8471849706.

The spelling of 2564867305 in words is "two billion, five hundred sixty-four million, eight hundred sixty-seven thousand, three hundred five".