2004272 has 30 divisors (see below), whose sum is σ = 4110228. Its totient is φ = 946656.

The previous prime is 2004271. The next prime is 2004293. The reversal of 2004272 is 2724002.

It is a self number, because there is not a number n which added to its sum of digits gives 2004272.

It is not an unprimeable number, because it can be changed into a prime (2004271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5603 + ... + 5949.

2^2004272 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 2004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055114).

2004272 is an abundant number, since it is smaller than the sum of its proper divisors (2105956).

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

2004272 is a wasteful number, since it uses less digits than its factorization.

2004272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2004272 is about 1415.7231367750. The cubic root of 2004272 is about 126.0817475730.

Adding to 2004272 its reverse (2724002), we get a palindrome (4728274).

The spelling of 2004272 in words is "two million, four thousand, two hundred seventy-two".