2551584 has 48 divisors (see below), whose sum is σ = 7656768. Its totient is φ = 728832.

The previous prime is 2551559. The next prime is 2551603. The reversal of 2551584 is 4851552.

2551584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1227 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (159516).

2^2551584 is an apocalyptic number.

2551584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2551584 is an abundant number, since it is smaller than the sum of its proper divisors (5105184).

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

2551584 is a wasteful number, since it uses less digits than its factorization.

2551584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3809 counting only the distinct ones).

The product of its digits is 8000, while the sum is 30.

The square root of 2551584 is about 1597.3678349084. The cubic root of 2551584 is about 136.6480032681.

Subtracting 2551584 from its reverse (4851552), we obtain a cube (2299968 = 132³).

The spelling of 2551584 in words is "two million, five hundred fifty-one thousand, five hundred eighty-four".