2564115 has 16 divisors (see below), whose sum is σ = 4128000. Its totient is φ = 1359072.

The previous prime is 2564101. The next prime is 2564117. The reversal of 2564115 is 5114652.

It is not a de Polignac number, because 2564115 - 2⁸ = 2563859 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2556 + ... + 3414.

It is an arithmetic number, because the mean of its divisors is an integer number (258000).

2^2564115 is an apocalyptic number.

2564115 is a deficient number, since it is larger than the sum of its proper divisors (1563885).

2564115 is a wasteful number, since it uses less digits than its factorization.

2564115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066.

The product of its digits is 1200, while the sum is 24.

The square root of 2564115 is about 1601.2854211539. The cubic root of 2564115 is about 136.8713339023.

Adding to 2564115 its reverse (5114652), we get a palindrome (7678767).

It can be divided in two parts, 256 and 4115, that added together give a triangular number (4371 = T₉₃).

The spelling of 2564115 in words is "two million, five hundred sixty-four thousand, one hundred fifteen".