2137204800 has 252 divisors, whose sum is σ = 7645417780. Its totient is φ = 566231040.

The previous prime is 2137204799. The next prime is 2137204813. The reversal of 2137204800 is 84027312.

It can be written as a sum of positive squares in 6 ways, for example, as 227165184 + 1910039616 = 15072^2 + 43704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2778816 + ... + 2779584.

Almost surely, 2^2137204800 is an apocalyptic number.

2137204800 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 2137204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822708890).

2137204800 is an abundant number, since it is smaller than the sum of its proper divisors (5508212980).

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

2137204800 is a wasteful number, since it uses less digits than its factorization.

2137204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2137204800 is about 46229.9123944660. The cubic root of 2137204800 is about 1288.0974297143.

The spelling of 2137204800 in words is "two billion, one hundred thirty-seven million, two hundred four thousand, eight hundred".