2552332080 has 160 divisors (see below), whose sum is σ = 8449030656. Its totient is φ = 635830272.

The previous prime is 2552332067. The next prime is 2552332109. The reversal of 2552332080 is 802332552.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 231984 + ... + 242736.

Almost surely, 2^2552332080 is an apocalyptic number.

2552332080 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 2552332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224515328).

2552332080 is an abundant number, since it is smaller than the sum of its proper divisors (5896698576).

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

2552332080 is a wasteful number, since it uses less digits than its factorization.

2552332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10835 (or 10829 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2552332080 is about 50520.6104476183. The cubic root of 2552332080 is about 1366.6135623493.

The spelling of 2552332080 in words is "two billion, five hundred fifty-two million, three hundred thirty-two thousand, eighty".