2004144320 has 56 divisors (see below), whose sum is σ = 5023561200. Its totient is φ = 759462912.

The previous prime is 2004144287. The next prime is 2004144341. The reversal of 2004144320 is 234414002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2004144292 and 2004144301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158735 + ... + 170894.

It is an arithmetic number, because the mean of its divisors is an integer number (89706450).

Almost surely, 2^2004144320 is an apocalyptic number.

2004144320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004144320 is an abundant number, since it is smaller than the sum of its proper divisors (3019416880).

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

2004144320 is a wasteful number, since it uses less digits than its factorization.

2004144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329665 (or 329655 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2004144320 is about 44767.6704777008. The cubic root of 2004144320 is about 1260.7907021526.

Adding to 2004144320 its reverse (234414002), we get a palindrome (2238558322).

The spelling of 2004144320 in words is "two billion, four million, one hundred forty-four thousand, three hundred twenty".