2004032352 has 192 divisors, whose sum is σ = 6398300160. Its totient is φ = 538011648.

The previous prime is 2004032347. The next prime is 2004032363. The reversal of 2004032352 is 2532304002.

It is a super-2 number, since 2×2004032352² = 8032291335725303808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 3301233 + ... + 3301839.

It is an arithmetic number, because the mean of its divisors is an integer number (33324480).

Almost surely, 2^2004032352 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 2004032352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199150080).

2004032352 is an abundant number, since it is smaller than the sum of its proper divisors (4394267808).

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

2004032352 is an equidigital number, since it uses as much as digits as its factorization.

2004032352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2004032352 is about 44766.4199149318. The cubic root of 2004032352 is about 1260.7672223328.

Adding to 2004032352 its reverse (2532304002), we get a palindrome (4536336354).

The spelling of 2004032352 in words is "two billion, four million, thirty-two thousand, three hundred fifty-two".