2136897200 has 60 divisors (see below), whose sum is σ = 5141311560. Its totient is φ = 853524480.

The previous prime is 2136897193. The next prime is 2136897221. The reversal of 2136897200 is 27986312.

It is a super-3 number, since 3×2136897200³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304127 + ... + 311073.

It is an arithmetic number, because the mean of its divisors is an integer number (85688526).

Almost surely, 2^2136897200 is an apocalyptic number.

2136897200 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 2136897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570655780).

2136897200 is an abundant number, since it is smaller than the sum of its proper divisors (3004414360).

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

2136897200 is a wasteful number, since it uses less digits than its factorization.

2136897200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2136897200 is about 46226.5854244070. The cubic root of 2136897200 is about 1288.0356297128.

The spelling of 2136897200 in words is "two billion, one hundred thirty-six million, eight hundred ninety-seven thousand, two hundred".