2004103584 has 144 divisors (see below), whose sum is σ = 6856274880. Its totient is φ = 542453760.

The previous prime is 2004103583. The next prime is 2004103589. The reversal of 2004103584 is 4853014002.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2004103583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12144 + ... + 64464.

It is an arithmetic number, because the mean of its divisors is an integer number (47613020).

Almost surely, 2^2004103584 is an apocalyptic number.

2004103584 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 2004103584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428137440).

2004103584 is an abundant number, since it is smaller than the sum of its proper divisors (4852171296).

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

2004103584 is a wasteful number, since it uses less digits than its factorization.

2004103584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52363 (or 52352 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2004103584 is about 44767.2155042058. The cubic root of 2004103584 is about 1260.7821598672.

Adding to 2004103584 its reverse (4853014002), we get a palindrome (6857117586).

The spelling of 2004103584 in words is "two billion, four million, one hundred three thousand, five hundred eighty-four".