2004434432 has 160 divisors (see below), whose sum is σ = 5378655744. Its totient is φ = 720691200.

The previous prime is 2004434413. The next prime is 2004434437. The reversal of 2004434432 is 2344344002.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004434437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510557 + ... + 514467.

Almost surely, 2^2004434432 is an apocalyptic number.

2004434432 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 2004434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689327872).

2004434432 is an abundant number, since it is smaller than the sum of its proper divisors (3374221312).

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

2004434432 is a wasteful number, since it uses less digits than its factorization.

2004434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2004434432 is about 44770.9105558509. The cubic root of 2004434432 is about 1260.8515349081.

Adding to 2004434432 its reverse (2344344002), we get a palindrome (4348778434).

The spelling of 2004434432 in words is "two billion, four million, four hundred thirty-four thousand, four hundred thirty-two".