2801180880 has 100 divisors (see below), whose sum is σ = 9728938692. Its totient is φ = 746979840.

The previous prime is 2801180807. The next prime is 2801180909. The reversal of 2801180880 is 880811082.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 354493584 + 2446687296 = 18828^2 + 49464^2 .

It is a super-2 number, since 2×2801180880² = 15693228644955148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209661 + ... + 222620.

Almost surely, 2^2801180880 is an apocalyptic number.

2801180880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2801180880 is an abundant number, since it is smaller than the sum of its proper divisors (6927757812).

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

2801180880 is a wasteful number, since it uses less digits than its factorization.

2801180880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432306 (or 432291 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 2801180880 is about 52926.1833122321. The cubic root of 2801180880 is about 1409.6578617578.

The spelling of 2801180880 in words is "two billion, eight hundred one million, one hundred eighty thousand, eight hundred eighty".