2004480000 has 520 divisors, whose sum is σ = 7676605200. Its totient is φ = 516096000.

The previous prime is 2004479999. The next prime is 2004480007. The reversal of 2004480000 is 844002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004480007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119986 + ... + 69120014.

Almost surely, 2^2004480000 is an apocalyptic number.

2004480000 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 2004480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838302600).

2004480000 is an abundant number, since it is smaller than the sum of its proper divisors (5672125200).

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

2004480000 is an frugal number, since it uses more digits than its factorization.

2004480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2004480000 is about 44771.4194548263. The cubic root of 2004480000 is about 1260.8610893983.

The spelling of 2004480000 in words is "two billion, four million, four hundred eighty thousand".