2133800 has 48 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 831680.

The previous prime is 2133799. The next prime is 2133811. The reversal of 2133800 is 83312.

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, 9287 + ... + 9513.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

2^2133800 is an apocalyptic number.

2133800 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 2133800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

2133800 is an abundant number, since it is smaller than the sum of its proper divisors (2955160).

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

2133800 is a wasteful number, since it uses less digits than its factorization.

2133800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2133800 is about 1460.7532303575. The cubic root of 2133800 is about 128.7413039654.

The spelling of 2133800 in words is "two million, one hundred thirty-three thousand, eight hundred".