2004114320 has 40 divisors (see below), whose sum is σ = 5017996536. Its totient is φ = 739980288.

The previous prime is 2004114311. The next prime is 2004114341. The reversal of 2004114320 is 234114002.

It can be written as a sum of positive squares in 4 ways, for example, as 60715264 + 1943399056 = 7792^2 + 44084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 962477 + ... + 964556.

Almost surely, 2^2004114320 is an apocalyptic number.

2004114320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004114320 is an abundant number, since it is smaller than the sum of its proper divisors (3013882216).

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

2004114320 is a wasteful number, since it uses less digits than its factorization.

2004114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927059 (or 1927053 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2004114320 is about 44767.3354132229. The cubic root of 2004114320 is about 1260.7844112035.

Adding to 2004114320 its reverse (234114002), we get a palindrome (2238228322).

The spelling of 2004114320 in words is "two billion, four million, one hundred fourteen thousand, three hundred twenty".