2032800 has 216 divisors, whose sum is σ = 8311968. Its totient is φ = 422400.

The previous prime is 2032799. The next prime is 2032819. The reversal of 2032800 is 82302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2032800.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 184795 + ... + 184805.

2^2032800 is an apocalyptic number.

2032800 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 2032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

2032800 is an abundant number, since it is smaller than the sum of its proper divisors (6279168).

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

2032800 is a wasteful number, since it uses less digits than its factorization.

2032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2032800 is about 1425.7629536497. The cubic root of 2032800 is about 126.6771305606.

It can be divided in two parts, 203 and 2800, that added together give a palindrome (3003).

The spelling of 2032800 in words is "two million, thirty-two thousand, eight hundred".