2564105159 has 32 divisors (see below), whose sum is σ = 3341896704. Its totient is φ = 1907642880.

The previous prime is 2564105149. The next prime is 2564105177. The reversal of 2564105159 is 9515014652.

2564105159 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564105159 - 2¹² = 2564101063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564105129) 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, 1368047 + ... + 1369919.

It is an arithmetic number, because the mean of its divisors is an integer number (104434272).

Almost surely, 2^2564105159 is an apocalyptic number.

2564105159 is a deficient number, since it is larger than the sum of its proper divisors (777791545).

2564105159 is a wasteful number, since it uses less digits than its factorization.

2564105159 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687.

The product of its (nonzero) digits is 54000, while the sum is 38.

The square root of 2564105159 is about 50636.9939767360. The cubic root of 2564105159 is about 1368.7115879937.

The spelling of 2564105159 in words is "two billion, five hundred sixty-four million, one hundred five thousand, one hundred fifty-nine".