2004112 has 40 divisors (see below), whose sum is σ = 4330080. Its totient is φ = 890880.

The previous prime is 2004109. The next prime is 2004131. The reversal of 2004112 is 2114002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10288 + ... + 10480.

It is an arithmetic number, because the mean of its divisors is an integer number (108252).

2^2004112 is an apocalyptic number.

2004112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165040).

2004112 is an abundant number, since it is smaller than the sum of its proper divisors (2325968).

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

2004112 is a wasteful number, since it uses less digits than its factorization.

2004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2004112 is about 1415.6666274233. Note that the first 4 decimals coincide. The cubic root of 2004112 is about 126.0783924701.

Adding to 2004112 its reverse (2114002), we get a palindrome (4118114).

It can be divided in two parts, 2004 and 112, that added together give a square (2116 = 46²).

The spelling of 2004112 in words is "two million, four thousand, one hundred twelve".