2004233200 has 60 divisors (see below), whose sum is σ = 4822259560. Its totient is φ = 800513280.

The previous prime is 2004233197. The next prime is 2004233291. The reversal of 2004233200 is 23324002.

2004233200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299491 + ... + 306109.

Almost surely, 2^2004233200 is an apocalyptic number.

2004233200 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 2004233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411129780).

2004233200 is an abundant number, since it is smaller than the sum of its proper divisors (2818026360).

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

2004233200 is a wasteful number, since it uses less digits than its factorization.

2004233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2004233200 is about 44768.6631473400. The cubic root of 2004233200 is about 1260.8093397693.

Adding to 2004233200 its reverse (23324002), we get a palindrome (2027557202).

The spelling of 2004233200 in words is "two billion, four million, two hundred thirty-three thousand, two hundred".