2251170080 has 72 divisors (see below), whose sum is σ = 5559886332. Its totient is φ = 861284864.

The previous prime is 2251170043. The next prime is 2251170101. The reversal of 2251170080 is 800711522.

It can be written as a sum of positive squares in 2 ways, for example, as 2192861584 + 58308496 = 46828^2 + 7636^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71342 + ... + 97938.

Almost surely, 2^2251170080 is an apocalyptic number.

2251170080 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 2251170080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779943166).

2251170080 is an abundant number, since it is smaller than the sum of its proper divisors (3308716252).

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

2251170080 is a wasteful number, since it uses less digits than its factorization.

2251170080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26658 (or 26627 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 2251170080 is about 47446.4970255972. The cubic root of 2251170080 is about 1310.5978041922.

The spelling of 2251170080 in words is "two billion, two hundred fifty-one million, one hundred seventy thousand, eighty".