2564116 has 12 divisors (see below), whose sum is σ = 4529140. Its totient is φ = 1270080.

The previous prime is 2564101. The next prime is 2564117. The reversal of 2564116 is 6114652.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 592900 = 1404^2 + 770^2 .

It is a super-2 number, since 2×2564116² = 13149381722912, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505 + ... + 3376.

2^2564116 is an apocalyptic number.

It is an amenable number.

2564116 is a deficient number, since it is larger than the sum of its proper divisors (1965024).

2564116 is a wasteful number, since it uses less digits than its factorization.

2564116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5992 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 2564116 is about 1601.2857334030. The cubic root of 2564116 is about 136.8713516955.

Adding to 2564116 its reverse (6114652), we get a palindrome (8678768).

The spelling of 2564116 in words is "two million, five hundred sixty-four thousand, one hundred sixteen".