2553584 has 30 divisors (see below), whose sum is σ = 5442360. Its totient is φ = 1159840.

The previous prime is 2553559. The next prime is 2553599. The reversal of 2553584 is 4853552.

It is a self number, because there is not a number n which added to its sum of digits gives 2553584.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1277 + ... + 2595.

It is an arithmetic number, because the mean of its divisors is an integer number (181412).

2^2553584 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 2553584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721180).

2553584 is an abundant number, since it is smaller than the sum of its proper divisors (2888776).

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

2553584 is a wasteful number, since it uses less digits than its factorization.

2553584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1332 counting only the distinct ones).

The product of its digits is 24000, while the sum is 32.

The square root of 2553584 is about 1597.9937421655. The cubic root of 2553584 is about 136.6836967343.

Subtracting from 2553584 its sum of digits (32), we obtain a palindrome (2553552).

Subtracting 2553584 from its reverse (4853552), we obtain a cube (2299968 = 132³).

The spelling of 2553584 in words is "two million, five hundred fifty-three thousand, five hundred eighty-four".