2004413432 has 64 divisors (see below), whose sum is σ = 4457181120. Its totient is φ = 827117568.

The previous prime is 2004413429. The next prime is 2004413443. The reversal of 2004413432 is 2343144002.

It is a junction number, because it is equal to n+sod(n) for n = 2004413398 and 2004413407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195998 + ... + 205970.

It is an arithmetic number, because the mean of its divisors is an integer number (69643455).

Almost surely, 2^2004413432 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 2004413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228590560).

2004413432 is an abundant number, since it is smaller than the sum of its proper divisors (2452767688).

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

2004413432 is a wasteful number, since it uses less digits than its factorization.

2004413432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2004413432 is about 44770.6760279538. The cubic root of 2004413432 is about 1260.8471316752.

Adding to 2004413432 its reverse (2343144002), we get a palindrome (4347557434).

The spelling of 2004413432 in words is "two billion, four million, four hundred thirteen thousand, four hundred thirty-two".