2004882824 has 48 divisors (see below), whose sum is σ = 4389381900. Its totient is φ = 855996288.

The previous prime is 2004882787. The next prime is 2004882827. The reversal of 2004882824 is 4282884002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1269496900 + 735385924 = 35630^2 + 27118^2 .

It is not an unprimeable number, because it can be changed into a prime (2004882827) 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, 95942 + ... + 114954.

Almost surely, 2^2004882824 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 2004882824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194690950).

2004882824 is an abundant number, since it is smaller than the sum of its proper divisors (2384499076).

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

2004882824 is a wasteful number, since it uses less digits than its factorization.

2004882824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19302 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 2004882824 is about 44775.9179023725. The cubic root of 2004882824 is about 1260.9455453982.

The spelling of 2004882824 in words is "two billion, four million, eight hundred eighty-two thousand, eight hundred twenty-four".