2137272200 has 108 divisors (see below), whose sum is σ = 5792853285. Its totient is φ = 731209920.

The previous prime is 2137272191. The next prime is 2137272229. The reversal of 2137272200 is 22727312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2094526756 + 42745444 = 45766^2 + 6538^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=32690.

It is a self number, because there is not a number n which added to its sum of digits gives 2137272200.

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 26 ways as a sum of consecutive naturals, for example, 4576367 + ... + 4576833.

Almost surely, 2^2137272200 is an apocalyptic number.

2137272200 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 2137272200

2137272200 is an abundant number, since it is smaller than the sum of its proper divisors (3655581085).

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

2137272200 is an equidigital number, since it uses as much as digits as its factorization.

2137272200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 2137272200 is about 46230.6413539765. The cubic root of 2137272200 is about 1288.1109702750.

Adding to 2137272200 its reverse (22727312), we get a palindrome (2159999512).

The spelling of 2137272200 in words is "two billion, one hundred thirty-seven million, two hundred seventy-two thousand, two hundred".