2004173824 has 33 divisors (see below), whose sum is σ = 4009256247. Its totient is φ = 1001370624.

The previous prime is 2004173807. The next prime is 2004173833. The reversal of 2004173824 is 4283714002.

The square root of 2004173824 is 44768.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1431877 + ... + 1433275.

Almost surely, 2^2004173824 is an apocalyptic number.

2004173824 is the 44768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004173824

2004173824 is an abundant number, since it is smaller than the sum of its proper divisors (2005082423).

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

2004173824 is an frugal number, since it uses more digits than its factorization.

2004173824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The cubic root of 2004173824 is about 1260.7968890301.

Adding to 2004173824 its reverse (4283714002), we get a palindrome (6287887826).

The spelling of 2004173824 in words is "two billion, four million, one hundred seventy-three thousand, eight hundred twenty-four".