2564675105 has 8 divisors (see below), whose sum is σ = 3176888064. Its totient is φ = 1985554800.

The previous prime is 2564675093. The next prime is 2564675107. The reversal of 2564675105 is 5015764652.

2564675105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2564675105 - 2⁶ = 2564675041 is a prime.

It is a super-2 number, since 2×2564675105² = 13155116788413522050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564675107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8272991 + ... + 8273300.

It is an arithmetic number, because the mean of its divisors is an integer number (397111008).

Almost surely, 2^2564675105 is an apocalyptic number.

It is an amenable number.

2564675105 is a deficient number, since it is larger than the sum of its proper divisors (612212959).

2564675105 is a wasteful number, since it uses less digits than its factorization.

2564675105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16546327.

The product of its (nonzero) digits is 252000, while the sum is 41.

The square root of 2564675105 is about 50642.6214270154. The cubic root of 2564675105 is about 1368.8129922984.

The spelling of 2564675105 in words is "two billion, five hundred sixty-four million, six hundred seventy-five thousand, one hundred five".