2132800 has 84 divisors (see below), whose sum is σ = 5543296. Its totient is φ = 806400.

The previous prime is 2132797. The next prime is 2132827. The reversal of 2132800 is 82312.

2132800 = T₂₀₀ + T₂₀₁ + ... + T₂₇₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 49579 + ... + 49621.

2^2132800 is an apocalyptic number.

2132800 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 2132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771648).

2132800 is an abundant number, since it is smaller than the sum of its proper divisors (3410496).

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

2132800 is a wasteful number, since it uses less digits than its factorization.

2132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2132800 is about 1460.4109010823. The cubic root of 2132800 is about 128.7211893935.

The spelling of 2132800 in words is "two million, one hundred thirty-two thousand, eight hundred".