2004672 has 56 divisors (see below), whose sum is σ = 5431536. Its totient is φ = 652288.

The previous prime is 2004661. The next prime is 2004679. The reversal of 2004672 is 2764002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2004679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10078 + ... + 10274.

2^2004672 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 2004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715768).

2004672 is an abundant number, since it is smaller than the sum of its proper divisors (3426864).

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

2004672 is a wasteful number, since it uses less digits than its factorization.

2004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2004672 is about 1415.8644002870. The cubic root of 2004672 is about 126.0901345491.

Adding to 2004672 its reverse (2764002), we get a palindrome (4768674).

The spelling of 2004672 in words is "two million, four thousand, six hundred seventy-two".