2553001920 has 504 divisors, whose sum is σ = 10389412800. Its totient is φ = 573640704.

The previous prime is 2553001903. The next prime is 2553001933. The reversal of 2553001920 is 291003552.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11148366 + ... + 11148594.

Almost surely, 2^2553001920 is an apocalyptic number.

2553001920 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 2553001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194706400).

2553001920 is an abundant number, since it is smaller than the sum of its proper divisors (7836410880).

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

2553001920 is a wasteful number, since it uses less digits than its factorization.

2553001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2553001920 is about 50527.2393862954. The cubic root of 2553001920 is about 1366.7331043120.

The spelling of 2553001920 in words is "two billion, five hundred fifty-three million, one thousand, nine hundred twenty".