2553808 has 40 divisors (see below), whose sum is σ = 5390280. Its totient is φ = 1167360.

The previous prime is 2553797. The next prime is 2553823. The reversal of 2553808 is 8083552.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 1926544 = 792^2 + 1388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2553808.

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 7 ways as a sum of consecutive naturals, for example, 11038 + ... + 11266.

It is an arithmetic number, because the mean of its divisors is an integer number (134757).

2^2553808 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 2553808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695140).

2553808 is an abundant number, since it is smaller than the sum of its proper divisors (2836472).

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

2553808 is a wasteful number, since it uses less digits than its factorization.

2553808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 2553808 is about 1598.0638285125. The cubic root of 2553808 is about 136.6876932418.

The spelling of 2553808 in words is "two million, five hundred fifty-three thousand, eight hundred eight".