2004912 has 200 divisors, whose sum is σ = 7562016. Its totient is φ = 497664.

The previous prime is 2004911. The next prime is 2004917. The reversal of 2004912 is 2194002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2004911) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117928 + ... + 117944.

2^2004912 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 2004912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781008).

2004912 is an abundant number, since it is smaller than the sum of its proper divisors (5557104).

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

2004912 is a wasteful number, since it uses less digits than its factorization.

2004912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2004912 is about 1415.9491516294. The cubic root of 2004912 is about 126.0951661993.

Adding to 2004912 its product of nonzero digits (144), we get a square (2005056 = 1416²).

Adding to 2004912 its reverse (2194002), we get a palindrome (4198914).

It can be divided in two parts, 2004 and 912, that added together give a square (2916 = 54²).

The spelling of 2004912 in words is "two million, four thousand, nine hundred twelve".