2132292800 has 168 divisors, whose sum is σ = 5787390000. Its totient is φ = 766771200.

The previous prime is 2132292793. The next prime is 2132292821. The reversal of 2132292800 is 82922312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706576 + ... + 1707824.

It is an arithmetic number, because the mean of its divisors is an integer number (34448750).

Almost surely, 2^2132292800 is an apocalyptic number.

2132292800 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 2132292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893695000).

2132292800 is an abundant number, since it is smaller than the sum of its proper divisors (3655097200).

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

2132292800 is a wasteful number, since it uses less digits than its factorization.

2132292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2132292800 is about 46176.7560575665. The cubic root of 2132292800 is about 1287.1098487935.

The spelling of 2132292800 in words is "two billion, one hundred thirty-two million, two hundred ninety-two thousand, eight hundred".