2564107 has 16 divisors (see below), whose sum is σ = 3324160. Its totient is φ = 1920672.

The previous prime is 2564101. The next prime is 2564117. The reversal of 2564107 is 7014652.

It is not a de Polignac number, because 2564107 - 2¹⁹ = 2039819 is a prime.

2564107 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2564101) 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, 988 + ... + 2470.

It is an arithmetic number, because the mean of its divisors is an integer number (207760).

2^2564107 is an apocalyptic number.

2564107 is a deficient number, since it is larger than the sum of its proper divisors (760053).

2564107 is a wasteful number, since it uses less digits than its factorization.

2564107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2564107 is about 1601.2829231588. The cubic root of 2564107 is about 136.8711915567.

Adding to 2564107 its reverse (7014652), we get a palindrome (9578759).

The spelling of 2564107 in words is "two million, five hundred sixty-four thousand, one hundred seven".