2004032 has 28 divisors (see below), whose sum is σ = 4021836. Its totient is φ = 990720.

The previous prime is 2004029. The next prime is 2004043. The reversal of 2004032 is 2304002.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 1201216 = 896^2 + 1096^2 .

It is a super-2 number, since 2×2004032² = 8032288514048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10982 + ... + 11162.

It is an arithmetic number, because the mean of its divisors is an integer number (143637).

2^2004032 is an apocalyptic number.

It is an amenable number.

2004032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2004032 is a wasteful number, since it uses less digits than its factorization.

2004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2004032 is about 1415.6383719015. The cubic root of 2004032 is about 126.0767148517.

Adding to 2004032 its reverse (2304002), we get a palindrome (4308034).

The spelling of 2004032 in words is "two million, four thousand, thirty-two", and thus it is an eban number.