2553038620 has 96 divisors (see below), whose sum is σ = 5985778176. Its totient is φ = 906796800.

The previous prime is 2553038611. The next prime is 2553038627. The reversal of 2553038620 is 268303552.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553038627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4045705 + ... + 4046335.

It is an arithmetic number, because the mean of its divisors is an integer number (62351856).

Almost surely, 2^2553038620 is an apocalyptic number.

2553038620 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 2553038620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992889088).

2553038620 is an abundant number, since it is smaller than the sum of its proper divisors (3432739556).

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

2553038620 is a wasteful number, since it uses less digits than its factorization.

2553038620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 2553038620 is about 50527.6025554350. The cubic root of 2553038620 is about 1366.7396533167.

The spelling of 2553038620 in words is "two billion, five hundred fifty-three million, thirty-eight thousand, six hundred twenty".