2551564 has 24 divisors (see below), whose sum is σ = 4777920. Its totient is φ = 1188096.

The previous prime is 2551559. The next prime is 2551603. The reversal of 2551564 is 4651552.

2551564 = T₉₆ + T₉₇ + ... + T₂₅₂.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10557 + ... + 10795.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

2^2551564 is an apocalyptic number.

It is an amenable number.

2551564 is a deficient number, since it is larger than the sum of its proper divisors (2226356).

2551564 is a wasteful number, since it uses less digits than its factorization.

2551564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its digits is 6000, while the sum is 28.

The square root of 2551564 is about 1597.3615745973. The cubic root of 2551564 is about 136.6476462392.

The spelling of 2551564 in words is "two million, five hundred fifty-one thousand, five hundred sixty-four".