2553191808 has 128 divisors (see below), whose sum is σ = 7066103040. Its totient is φ = 816076800.

The previous prime is 2553191777. The next prime is 2553191819. The reversal of 2553191808 is 8081913552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2553191808.

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 15 ways as a sum of consecutive naturals, for example, 1007503 + ... + 1010033.

It is an arithmetic number, because the mean of its divisors is an integer number (55203930).

Almost surely, 2^2553191808 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 2553191808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533051520).

2553191808 is an abundant number, since it is smaller than the sum of its proper divisors (4512911232).

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

2553191808 is a wasteful number, since it uses less digits than its factorization.

2553191808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 2553191808 is about 50529.1184170078. The cubic root of 2553191808 is about 1366.7669885771.

The spelling of 2553191808 in words is "two billion, five hundred fifty-three million, one hundred ninety-one thousand, eight hundred eight".