2132099200 has 384 divisors, whose sum is σ = 6966518400. Its totient is φ = 624230400.

The previous prime is 2132099197. The next prime is 2132099201. The reversal of 2132099200 is 29902312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2132099201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4188546 + ... + 4189054.

It is an arithmetic number, because the mean of its divisors is an integer number (18141975).

Almost surely, 2^2132099200 is an apocalyptic number.

2132099200 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 2132099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483259200).

2132099200 is an abundant number, since it is smaller than the sum of its proper divisors (4834419200).

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

2132099200 is a wasteful number, since it uses less digits than its factorization.

2132099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 2132099200 is about 46174.6597172085. The cubic root of 2132099200 is about 1287.0708935418.

The spelling of 2132099200 in words is "two billion, one hundred thirty-two million, ninety-nine thousand, two hundred".