2004424030320 has 160 divisors (see below), whose sum is σ = 6312491212800. Its totient is φ = 526059436032.

The previous prime is 2004424030289. The next prime is 2004424030321. The reversal of 2004424030320 is 230304244002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004424030321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5765601 + ... + 6103359.

It is an arithmetic number, because the mean of its divisors is an integer number (39453070080).

Almost surely, 2^{2004424030320} is an apocalyptic number.

2004424030320 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 2004424030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156245606400).

2004424030320 is an abundant number, since it is smaller than the sum of its proper divisors (4308067182480).

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

2004424030320 is a wasteful number, since it uses less digits than its factorization.

2004424030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338167 (or 338161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2004424030320 its reverse (230304244002), we get a palindrome (2234728274322).

The spelling of 2004424030320 in words is "two trillion, four billion, four hundred twenty-four million, thirty thousand, three hundred twenty".