2004003964 has 12 divisors (see below), whose sum is σ = 3564499288. Its totient is φ = 985575600.

The previous prime is 2004003919. The next prime is 2004004087. The reversal of 2004003964 is 4693004002.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 4106322 + ... + 4106809.

Almost surely, 2^2004003964 is an apocalyptic number.

It is an amenable number.

2004003964 is a deficient number, since it is larger than the sum of its proper divisors (1560495324).

2004003964 is a wasteful number, since it uses less digits than its factorization.

2004003964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213196 (or 8213194 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2004003964 is about 44766.1028457917. The cubic root of 2004003964 is about 1260.7612691972.

Adding to 2004003964 its reverse (4693004002), we get a palindrome (6697007966).

The spelling of 2004003964 in words is "two billion, four million, three thousand, nine hundred sixty-four".