2004132321 has 16 divisors (see below), whose sum is σ = 2969912320. Its totient is φ = 1335715920.

The previous prime is 2004132313. The next prime is 2004132323. The reversal of 2004132321 is 1232314002.

2004132321 is a `hidden beast` number, since 20 + 0 + 413 + 232 + 1 = 666.

It is not a de Polignac number, because 2004132321 - 2³ = 2004132313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004132294 and 2004132303.

It is not an unprimeable number, because it can be changed into a prime (2004132323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116736 + ... + 132798.

It is an arithmetic number, because the mean of its divisors is an integer number (185619520).

Almost surely, 2^2004132321 is an apocalyptic number.

It is an amenable number.

2004132321 is a deficient number, since it is larger than the sum of its proper divisors (965779999).

2004132321 is a wasteful number, since it uses less digits than its factorization.

2004132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20693 (or 20687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2004132321 is about 44767.5364633794. The cubic root of 2004132321 is about 1260.7881859902.

Adding to 2004132321 its reverse (1232314002), we get a palindrome (3236446323).

The spelling of 2004132321 in words is "two billion, four million, one hundred thirty-two thousand, three hundred twenty-one".