2137796800 has 84 divisors (see below), whose sum is σ = 5280934320. Its totient is φ = 851768320.

The previous prime is 2137796747. The next prime is 2137796809. The reversal of 2137796800 is 86977312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2137796809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427917 + ... + 432883.

Almost surely, 2^2137796800 is an apocalyptic number.

2137796800 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 2137796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640467160).

2137796800 is an abundant number, since it is smaller than the sum of its proper divisors (3143137520).

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

2137796800 is a wasteful number, since it uses less digits than its factorization.

2137796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 2137796800 is about 46236.3147320372. The cubic root of 2137796800 is about 1288.2163519129.

The spelling of 2137796800 in words is "two billion, one hundred thirty-seven million, seven hundred ninety-six thousand, eight hundred".