2564136 has 48 divisors (see below), whose sum is σ = 7207200. Its totient is φ = 854064.

The previous prime is 2564123. The next prime is 2564143. The reversal of 2564136 is 6314652.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1285 + ... + 2603.

It is an arithmetic number, because the mean of its divisors is an integer number (150150).

2^2564136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603600).

2564136 is an abundant number, since it is smaller than the sum of its proper divisors (4643064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564136 is a wasteful number, since it uses less digits than its factorization.

2564136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1324 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2564136 is about 1601.2919783725. The cubic root of 2564136 is about 136.8717075583.

Adding to 2564136 its reverse (6314652), we get a palindrome (8878788).

The spelling of 2564136 in words is "two million, five hundred sixty-four thousand, one hundred thirty-six".