2132915200 has 396 divisors, whose sum is σ = 6270820740. Its totient is φ = 715653120.

The previous prime is 2132915173. The next prime is 2132915221. The reversal of 2132915200 is 25192312.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 1789628416 + 343286784 = 42304^2 + 18528^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73548786 + ... + 73548814.

Almost surely, 2^2132915200 is an apocalyptic number.

2132915200 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 2132915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135410370).

2132915200 is an abundant number, since it is smaller than the sum of its proper divisors (4137905540).

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

2132915200 is a wasteful number, since it uses less digits than its factorization.

2132915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 2132915200 is about 46183.4948872430. The cubic root of 2132915200 is about 1287.2350691257.

The spelling of 2132915200 in words is "two billion, one hundred thirty-two million, nine hundred fifteen thousand, two hundred".