2004034584 has 16 divisors (see below), whose sum is σ = 5010086520. Its totient is φ = 668011520.

The previous prime is 2004034583. The next prime is 2004034619. The reversal of 2004034584 is 4854304002.

It is a super-2 number, since 2×2004034584² = 8032309227736106112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004034583) 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, 41750697 + ... + 41750744.

Almost surely, 2^2004034584 is an apocalyptic number.

2004034584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004034584 is an abundant number, since it is smaller than the sum of its proper divisors (3006051936).

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

2004034584 is a wasteful number, since it uses less digits than its factorization.

2004034584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83501450 (or 83501446 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2004034584 is about 44766.4448443251. Note that the first 3 decimals coincide. The cubic root of 2004034584 is about 1260.7676903943.

Adding to 2004034584 its reverse (4854304002), we get a palindrome (6858338586).

The spelling of 2004034584 in words is "two billion, four million, thirty-four thousand, five hundred eighty-four".