2832004800 has 252 divisors, whose sum is σ = 10127696280. Its totient is φ = 750551040.

The previous prime is 2832004781. The next prime is 2832004817. The reversal of 2832004800 is 84002382.

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, 2778691 + ... + 2779709.

Almost surely, 2^2832004800 is an apocalyptic number.

2832004800 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 2832004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063848140).

2832004800 is an abundant number, since it is smaller than the sum of its proper divisors (7295691480).

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

2832004800 is a wasteful number, since it uses less digits than its factorization.

2832004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2832004800 is about 53216.5838813429. The cubic root of 2832004800 is about 1414.8095903476.

The spelling of 2832004800 in words is "two billion, eight hundred thirty-two million, four thousand, eight hundred".