2004047584 has 96 divisors (see below), whose sum is σ = 5208489216. Its totient is φ = 734853120.

The previous prime is 2004047561. The next prime is 2004047587. The reversal of 2004047584 is 4857404002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004047587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17967 + ... + 65809.

It is an arithmetic number, because the mean of its divisors is an integer number (54255096).

Almost surely, 2^2004047584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004047584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604244608).

2004047584 is an abundant number, since it is smaller than the sum of its proper divisors (3204441632).

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

2004047584 is a wasteful number, since it uses less digits than its factorization.

2004047584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47888 (or 47880 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 2004047584 is about 44766.5900421285. The cubic root of 2004047584 is about 1260.7704165523.

The spelling of 2004047584 in words is "two billion, four million, forty-seven thousand, five hundred eighty-four".