2553624 has 48 divisors (see below), whose sum is σ = 7160400. Its totient is φ = 821184.

The previous prime is 2553611. The next prime is 2553631. The reversal of 2553624 is 4263552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1477 + ... + 2699.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

2^2553624 is an apocalyptic number.

2553624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580200).

2553624 is an abundant number, since it is smaller than the sum of its proper divisors (4606776).

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

2553624 is a wasteful number, since it uses less digits than its factorization.

2553624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1257 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 2553624 is about 1598.0062578100. The cubic root of 2553624 is about 136.6844104135.

It can be divided in two parts, 255 and 3624, that multiplied together give a triangular number (924120 = T₁₃₅₉).

The spelling of 2553624 in words is "two million, five hundred fifty-three thousand, six hundred twenty-four".