2132883200 has 108 divisors (see below), whose sum is σ = 6033520080. Its totient is φ = 731258880.

The previous prime is 2132883197. The next prime is 2132883211. The reversal of 2132883200 is 23882312.

It is a congruent number.

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, 20996 + ... + 68604.

Almost surely, 2^2132883200 is an apocalyptic number.

2132883200 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 2132883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016760040).

2132883200 is an abundant number, since it is smaller than the sum of its proper divisors (3900636880).

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

2132883200 is an equidigital number, since it uses as much as digits as its factorization.

2132883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47642 (or 47623 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2132883200 is about 46183.1484418289. The cubic root of 2132883200 is about 1287.2286316564.

The spelling of 2132883200 in words is "two billion, one hundred thirty-two million, eight hundred eighty-three thousand, two hundred".