2004412032 has 144 divisors (see below), whose sum is σ = 6709792050. Its totient is φ = 572673024.

The previous prime is 2004412021. The next prime is 2004412037. The reversal of 2004412032 is 2302144002.

2004412032 is a `hidden beast` number, since 20 + 0 + 441 + 203 + 2 = 666.

2004412032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1952225856 + 52186176 = 44184^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 2004411996 and 2004412014.

It is not an unprimeable number, because it can be changed into a prime (2004412037) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38694 + ... + 74202.

Almost surely, 2^2004412032 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 2004412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354896025).

2004412032 is an abundant number, since it is smaller than the sum of its proper divisors (4705380018).

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

2004412032 is a wasteful number, since it uses less digits than its factorization.

2004412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35543 (or 35521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2004412032 is about 44770.6603927170. The cubic root of 2004412032 is about 1260.8468381253.

Adding to 2004412032 its reverse (2302144002), we get a palindrome (4306556034).

The spelling of 2004412032 in words is "two billion, four million, four hundred twelve thousand, thirty-two".