2004131332 has 48 divisors (see below), whose sum is σ = 4173482880. Its totient is φ = 824198400.

The previous prime is 2004131303. The next prime is 2004131359. The reversal of 2004131332 is 2331314002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55719 + ... + 84337.

It is an arithmetic number, because the mean of its divisors is an integer number (86947560).

Almost surely, 2^2004131332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086741440).

2004131332 is an abundant number, since it is smaller than the sum of its proper divisors (2169351548).

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

2004131332 is a wasteful number, since it uses less digits than its factorization.

2004131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28732 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2004131332 is about 44767.5254174273. The cubic root of 2004131332 is about 1260.7879785987.

Adding to 2004131332 its reverse (2331314002), we get a palindrome (4335445334).

The spelling of 2004131332 in words is "two billion, four million, one hundred thirty-one thousand, three hundred thirty-two".