2004632000 has 112 divisors (see below), whose sum is σ = 5673839808. Its totient is φ = 687283200.

The previous prime is 2004631961. The next prime is 2004632011. The reversal of 2004632000 is 2364002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2004632000.

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, 38102 + ... + 73898.

It is an arithmetic number, because the mean of its divisors is an integer number (50659284).

Almost surely, 2^2004632000 is an apocalyptic number.

2004632000 is a gapful number since it is divisible by the number (20) 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 2004632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836919904).

2004632000 is an abundant number, since it is smaller than the sum of its proper divisors (3669207808).

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

2004632000 is an equidigital number, since it uses as much as digits as its factorization.

2004632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35831 (or 35811 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2004632000 is about 44773.1169341604. The cubic root of 2004632000 is about 1260.8929590173.

Adding to 2004632000 its reverse (2364002), we get a palindrome (2006996002).

The spelling of 2004632000 in words is "two billion, four million, six hundred thirty-two thousand".