2553051504 has 80 divisors (see below), whose sum is σ = 6786128160. Its totient is φ = 826490880.

The previous prime is 2553051491. The next prime is 2553051539. The reversal of 2553051504 is 4051503552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350592 + ... + 1352480.

It is an arithmetic number, because the mean of its divisors is an integer number (84826602).

Almost surely, 2^2553051504 is an apocalyptic number.

2553051504 is a gapful number since it is divisible by the number (24) 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 2553051504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393064080).

2553051504 is an abundant number, since it is smaller than the sum of its proper divisors (4233076656).

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

2553051504 is a wasteful number, since it uses less digits than its factorization.

2553051504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 2553051504 is about 50527.7300499439. The cubic root of 2553051504 is about 1366.7419524129.

The spelling of 2553051504 in words is "two billion, five hundred fifty-three million, fifty-one thousand, five hundred four".