2004424100 has 144 divisors (see below), whose sum is σ = 5298410880. Its totient is φ = 642508800.

The previous prime is 2004424073. The next prime is 2004424111. The reversal of 2004424100 is 14244002.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2129630 + ... + 2130570.

It is an arithmetic number, because the mean of its divisors is an integer number (36794520).

Almost surely, 2^2004424100 is an apocalyptic number.

2004424100 is a gapful number since it is divisible by the number (20) 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 2004424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649205440).

2004424100 is an abundant number, since it is smaller than the sum of its proper divisors (3293986780).

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

2004424100 is a wasteful number, since it uses less digits than its factorization.

2004424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2004424100 is about 44770.7951682791. The cubic root of 2004424100 is about 1260.8493685214.

Adding to 2004424100 its reverse (14244002), we get a palindrome (2018668102).

It can be divided in two parts, 20044 and 24100, that added together give a palindrome (44144).

The spelling of 2004424100 in words is "two billion, four million, four hundred twenty-four thousand, one hundred".