2004343320224 has 96 divisors (see below), whose sum is σ = 4748359190400. Its totient is φ = 813582627840.

The previous prime is 2004343320209. The next prime is 2004343320229. The reversal of 2004343320224 is 4220233434002.

It is a happy number.

It is a super-3 number, since 3×2004343320224³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2004343320229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16918154 + ... + 17036214.

It is an arithmetic number, because the mean of its divisors is an integer number (49462074900).

Almost surely, 2^{2004343320224} 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 2004343320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374179595200).

2004343320224 is an abundant number, since it is smaller than the sum of its proper divisors (2744015870176).

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

2004343320224 is a wasteful number, since it uses less digits than its factorization.

2004343320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122086 (or 122078 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 2004343320224 its reverse (4220233434002), we get a palindrome (6224576754226).

The spelling of 2004343320224 in words is "two trillion, four billion, three hundred forty-three million, three hundred twenty thousand, two hundred twenty-four".