2004484224 has 128 divisors (see below), whose sum is σ = 5633827200. Its totient is φ = 630153216.

The previous prime is 2004484171. The next prime is 2004484241. The reversal of 2004484224 is 4224844002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2004484191 and 2004484200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643182 + ... + 646290.

It is an arithmetic number, because the mean of its divisors is an integer number (44014275).

Almost surely, 2^2004484224 is an apocalyptic number.

2004484224 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 2004484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816913600).

2004484224 is an abundant number, since it is smaller than the sum of its proper divisors (3629342976).

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

2004484224 is a wasteful number, since it uses less digits than its factorization.

2004484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 2004484224 is about 44771.4666277530. The cubic root of 2004484224 is about 1260.8619750600.

The spelling of 2004484224 in words is "two billion, four million, four hundred eighty-four thousand, two hundred twenty-four".