2137220400 has 480 divisors, whose sum is σ = 8221362688. Its totient is φ = 464486400.

The previous prime is 2137220353. The next prime is 2137220411. The reversal of 2137220400 is 40227312.

It is a super-2 number, since 2×2137220400² = 9135422076352320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22033152 + ... + 22033248.

Almost surely, 2^2137220400 is an apocalyptic number.

2137220400 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 2137220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110681344).

2137220400 is an abundant number, since it is smaller than the sum of its proper divisors (6084142288).

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

2137220400 is a wasteful number, since it uses less digits than its factorization.

2137220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2137220400 is about 46230.0811160872. The cubic root of 2137220400 is about 1288.1005637566.

Adding to 2137220400 its reverse (40227312), we get a palindrome (2177447712).

The spelling of 2137220400 in words is "two billion, one hundred thirty-seven million, two hundred twenty thousand, four hundred".