2004273824 has 96 divisors (see below), whose sum is σ = 4761630720. Its totient is φ = 811254528.

The previous prime is 2004273779. The next prime is 2004273827. The reversal of 2004273824 is 4283724002.

It is a super-2 number, since 2×2004273824² = 8034227123143165952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2004273827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2072189 + ... + 2073155.

It is an arithmetic number, because the mean of its divisors is an integer number (49600320).

Almost surely, 2^2004273824 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 2004273824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380815360).

2004273824 is an abundant number, since it is smaller than the sum of its proper divisors (2757356896).

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

2004273824 is a wasteful number, since it uses less digits than its factorization.

2004273824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2004273824 is about 44769.1168552608. The cubic root of 2004273824 is about 1260.8178582013.

Adding to 2004273824 its reverse (4283724002), we get a palindrome (6287997826).

The spelling of 2004273824 in words is "two billion, four million, two hundred seventy-three thousand, eight hundred twenty-four".