2004033072 has 40 divisors (see below), whose sum is σ = 5317011376. Its totient is φ = 649956096.

The previous prime is 2004033071. The next prime is 2004033089. The reversal of 2004033072 is 2703304002.

It is a happy number.

It is a super-2 number, since 2×2004033072² = 8032297107339514368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2004033071) 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 7 ways as a sum of consecutive naturals, for example, 562423 + ... + 565974.

Almost surely, 2^2004033072 is an apocalyptic number.

It is an amenable number.

2004033072 is an abundant number, since it is smaller than the sum of its proper divisors (3312978304).

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

2004033072 is a wasteful number, since it uses less digits than its factorization.

2004033072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128445 (or 1128439 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 2004033072 is about 44766.4279566731. The cubic root of 2004033072 is about 1260.7673733204.

Adding to 2004033072 its reverse (2703304002), we get a palindrome (4707337074).

The spelling of 2004033072 in words is "two billion, four million, thirty-three thousand, seventy-two".