2004048000 has 256 divisors, whose sum is σ = 7383168000. Its totient is φ = 534297600.

The previous prime is 2004047911. The next prime is 2004048017. The reversal of 2004048000 is 8404002.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429681 + ... + 434319.

It is an arithmetic number, because the mean of its divisors is an integer number (28840500).

Almost surely, 2^2004048000 is an apocalyptic number.

2004048000 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 2004048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691584000).

2004048000 is an abundant number, since it is smaller than the sum of its proper divisors (5379120000).

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

2004048000 is an equidigital number, since it uses as much as digits as its factorization.

2004048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4649 counting only the distinct ones).

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

The square root of 2004048000 is about 44766.5946884504. The cubic root of 2004048000 is about 1260.7705037891.

The spelling of 2004048000 in words is "two billion, four million, forty-eight thousand".