2004428544 has 72 divisors (see below), whose sum is σ = 5342198400. Its totient is φ = 667204608.

The previous prime is 2004428533. The next prime is 2004428549. The reversal of 2004428544 is 4458244002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004428549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741307 + ... + 744005.

It is an arithmetic number, because the mean of its divisors is an integer number (74197200).

Almost surely, 2^2004428544 is an apocalyptic number.

2004428544 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 2004428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671099200).

2004428544 is an abundant number, since it is smaller than the sum of its proper divisors (3337769856).

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

2004428544 is an equidigital number, since it uses as much as digits as its factorization.

2004428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 2004428544 is about 44770.8447988197. The cubic root of 2004428544 is about 1260.8503003286.

The spelling of 2004428544 in words is "two billion, four million, four hundred twenty-eight thousand, five hundred forty-four".