2553920 has 56 divisors (see below), whose sum is σ = 6364224. Its totient is φ = 974336.

The previous prime is 2553917. The next prime is 2553937. The reversal of 2553920 is 293552.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2553920.

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, 7187 + ... + 7533.

2^2553920 is an apocalyptic number.

2553920 is a gapful number since it is divisible by the number (20) 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 2553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182112).

2553920 is an abundant number, since it is smaller than the sum of its proper divisors (3810304).

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

2553920 is a wasteful number, since it uses less digits than its factorization.

2553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 2553920 is about 1598.0988705334. The cubic root of 2553920 is about 136.6896914079.

The spelling of 2553920 in words is "two million, five hundred fifty-three thousand, nine hundred twenty".