2004034032 has 240 divisors, whose sum is σ = 7530851328. Its totient is φ = 480453120.

The previous prime is 2004034027. The next prime is 2004034111. The reversal of 2004034032 is 2304304002.

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 = 2004033996 and 2004034014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137193 + ... + 151095.

Almost surely, 2^2004034032 is an apocalyptic number.

2004034032 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 2004034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765425664).

2004034032 is an abundant number, since it is smaller than the sum of its proper divisors (5526817296).

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

2004034032 is a wasteful number, since it uses less digits than its factorization.

2004034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2004034032 is about 44766.4386789925. The cubic root of 2004034032 is about 1260.7675746372.

Adding to 2004034032 its reverse (2304304002), we get a palindrome (4308338034).

The spelling of 2004034032 in words is "two billion, four million, thirty-four thousand, thirty-two", and thus it is an eban number.