2004432120 has 48 divisors (see below), whose sum is σ = 6514405560. Its totient is φ = 534515136.

The previous prime is 2004432103. The next prime is 2004432127. The reversal of 2004432120 is 212344002.

2004432120 is a `hidden beast` number, since 200 + 443 + 2 + 1 + 20 = 666.

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 = 2004432093 and 2004432102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004432127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2783574 + ... + 2784293.

Almost surely, 2^2004432120 is an apocalyptic number.

2004432120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004432120 is an abundant number, since it is smaller than the sum of its proper divisors (4509973440).

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

2004432120 is a wasteful number, since it uses less digits than its factorization.

2004432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567884 (or 5567877 counting only the distinct ones).

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

The square root of 2004432120 is about 44770.8847355064. The cubic root of 2004432120 is about 1260.8510501346.

Adding to 2004432120 its reverse (212344002), we get a palindrome (2216776122).

The spelling of 2004432120 in words is "two billion, four million, four hundred thirty-two thousand, one hundred twenty".