2004884 has 36 divisors (see below), whose sum is σ = 4179924. Its totient is φ = 838656.

The previous prime is 2004881. The next prime is 2004901. The reversal of 2004884 is 4884002.

It can be written as a sum of positive squares in 2 ways, for example, as 960400 + 1044484 = 980^2 + 1022^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10292 + ... + 10484.

It is an arithmetic number, because the mean of its divisors is an integer number (116109).

2^2004884 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 2004884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089962).

2004884 is an abundant number, since it is smaller than the sum of its proper divisors (2175040).

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

2004884 is a wasteful number, since it uses less digits than its factorization.

2004884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2004884 is about 1415.9392642342. The cubic root of 2004884 is about 126.0945791942.

Adding to 2004884 its reverse (4884002), we get a palindrome (6888886).

The spelling of 2004884 in words is "two million, four thousand, eight hundred eighty-four".