2832800 has 36 divisors (see below), whose sum is σ = 6917526. Its totient is φ = 1132800.

The previous prime is 2832799. The next prime is 2832803. The reversal of 2832800 is 82382.

It can be written as a sum of positive squares in 3 ways, for example, as 1993744 + 839056 = 1412^2 + 916^2 .

It is not an unprimeable number, because it can be changed into a prime (2832803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 971 + ... + 2570.

2^2832800 is an apocalyptic number.

2832800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2832800 is an abundant number, since it is smaller than the sum of its proper divisors (4084726).

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

2832800 is a wasteful number, since it uses less digits than its factorization.

2832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2832800 is about 1683.0923919975. The cubic root of 2832800 is about 141.4941999645.

The spelling of 2832800 in words is "two million, eight hundred thirty-two thousand, eight hundred".