2004384 has 24 divisors (see below), whose sum is σ = 5261760. Its totient is φ = 668096.

The previous prime is 2004383. The next prime is 2004421. The reversal of 2004384 is 4834002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2004384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10344 + ... + 10535.

It is an arithmetic number, because the mean of its divisors is an integer number (219240).

2^2004384 is an apocalyptic number.

2004384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004384 is an abundant number, since it is smaller than the sum of its proper divisors (3257376).

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

2004384 is a wasteful number, since it uses less digits than its factorization.

2004384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20892 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2004384 is about 1415.7626919791. The cubic root of 2004384 is about 126.0840960388.

Adding to 2004384 its reverse (4834002), we get a palindrome (6838386).

The spelling of 2004384 in words is "two million, four thousand, three hundred eighty-four".