2564012 has 24 divisors (see below), whose sum is σ = 5154240. Its totient is φ = 1103760.

The previous prime is 2564011. The next prime is 2564027. The reversal of 2564012 is 2104652.

It is a happy number.

It is a super-2 number, since 2×2564012² = 13148315072288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2564011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 698 + ... + 2369.

It is an arithmetic number, because the mean of its divisors is an integer number (214760).

2^2564012 is an apocalyptic number.

2564012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2564012 is an abundant number, since it is smaller than the sum of its proper divisors (2590228).

2564012 is a wasteful number, since it uses less digits than its factorization.

2564012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2564012 is about 1601.2532591692. The cubic root of 2564012 is about 136.8695011795.

Adding to 2564012 its reverse (2104652), we get a palindrome (4668664).

It can be divided in two parts, 25640 and 12, that added together give a palindrome (25652).

The spelling of 2564012 in words is "two million, five hundred sixty-four thousand, twelve".