2552709120 has 480 divisors, whose sum is σ = 9512391168. Its totient is φ = 578813952.

The previous prime is 2552709091. The next prime is 2552709139. The reversal of 2552709120 is 219072552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54312937 + ... + 54312983.

Almost surely, 2^2552709120 is an apocalyptic number.

2552709120 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 2552709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756195584).

2552709120 is an abundant number, since it is smaller than the sum of its proper divisors (6959682048).

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

2552709120 is a wasteful number, since it uses less digits than its factorization.

2552709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 2552709120 is about 50524.3418561786. The cubic root of 2552709120 is about 1366.6808527842.

The spelling of 2552709120 in words is "two billion, five hundred fifty-two million, seven hundred nine thousand, one hundred twenty".