2004399984 has 120 divisors (see below), whose sum is σ = 5634520320. Its totient is φ = 612282240.

The previous prime is 2004399941. The next prime is 2004400039. The reversal of 2004399984 is 4899934002.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875289 + ... + 877575.

It is an arithmetic number, because the mean of its divisors is an integer number (46954336).

Almost surely, 2^2004399984 is an apocalyptic number.

2004399984 is a gapful number since it is divisible by the number (24) 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 2004399984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817260160).

2004399984 is an abundant number, since it is smaller than the sum of its proper divisors (3630120336).

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

2004399984 is a wasteful number, since it uses less digits than its factorization.

2004399984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 2004399984 is about 44770.5258401105. The cubic root of 2004399984 is about 1260.8443119126.

The spelling of 2004399984 in words is "two billion, four million, three hundred ninety-nine thousand, nine hundred eighty-four".