2133792100 has 72 divisors (see below), whose sum is σ = 5059551168. Its totient is φ = 774652800.

The previous prime is 2133792091. The next prime is 2133792103. The reversal of 2133792100 is 12973312.

It is not an unprimeable number, because it can be changed into a prime (2133792103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904122 + ... + 906478.

It is an arithmetic number, because the mean of its divisors is an integer number (70271544).

Almost surely, 2^2133792100 is an apocalyptic number.

2133792100 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 2133792100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529775584).

2133792100 is an abundant number, since it is smaller than the sum of its proper divisors (2925759068).

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

2133792100 is a wasteful number, since it uses less digits than its factorization.

2133792100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 2133792100 is about 46192.9875630490. The cubic root of 2133792100 is about 1287.4114508492.

The spelling of 2133792100 in words is "two billion, one hundred thirty-three million, seven hundred ninety-two thousand, one hundred".