2004312200 has 96 divisors (see below), whose sum is σ = 5221272960. Its totient is φ = 709113600.

The previous prime is 2004312199. The next prime is 2004312221. The reversal of 2004312200 is 22134002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69089 + ... + 93711.

It is an arithmetic number, because the mean of its divisors is an integer number (54388260).

Almost surely, 2^2004312200 is an apocalyptic number.

2004312200 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 2004312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610636480).

2004312200 is an abundant number, since it is smaller than the sum of its proper divisors (3216960760).

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

2004312200 is a wasteful number, since it uses less digits than its factorization.

2004312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24687 (or 24678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2004312200 is about 44769.5454522380. The cubic root of 2004312200 is about 1260.8259051452.

Adding to 2004312200 its reverse (22134002), we get a palindrome (2026446202).

The spelling of 2004312200 in words is "two billion, four million, three hundred twelve thousand, two hundred".