2181808800 has 108 divisors (see below), whose sum is σ = 7693628670. Its totient is φ = 581813760.

The previous prime is 2181808789. The next prime is 2181808801. The reversal of 2181808800 is 88081812.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2109013776 + 72795024 = 45924^2 + 8532^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2181808801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144315 + ... + 158714.

Almost surely, 2^2181808800 is an apocalyptic number.

2181808800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2181808800 is an abundant number, since it is smaller than the sum of its proper divisors (5511819870).

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

2181808800 is a wasteful number, since it uses less digits than its factorization.

2181808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303055 (or 303039 counting only the distinct ones).

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

The square root of 2181808800 is about 46709.8362232196. The cubic root of 2181808800 is about 1296.9967754620.

The spelling of 2181808800 in words is "two billion, one hundred eighty-one million, eight hundred eight thousand, eight hundred".