2004331300 has 36 divisors (see below), whose sum is σ = 4352451460. Its totient is φ = 801169920.

The previous prime is 2004331283. The next prime is 2004331313. The reversal of 2004331300 is 31334002.

It can be written as a sum of positive squares in 6 ways, for example, as 238146624 + 1766184676 = 15432^2 + 42026^2 .

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, 154672 + ... + 167128.

Almost surely, 2^2004331300 is an apocalyptic number.

2004331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004331300 is an abundant number, since it is smaller than the sum of its proper divisors (2348120160).

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

2004331300 is a wasteful number, since it uses less digits than its factorization.

2004331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14080 (or 14073 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2004331300 is about 44769.7587663816. The cubic root of 2004331300 is about 1260.8299101265.

Adding to 2004331300 its reverse (31334002), we get a palindrome (2035665302).

The spelling of 2004331300 in words is "two billion, four million, three hundred thirty-one thousand, three hundred".