2004014304 has 48 divisors (see below), whose sum is σ = 5845044240. Its totient is φ = 668004480.

The previous prime is 2004014293. The next prime is 2004014321. The reversal of 2004014304 is 4034104002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1158867 + ... + 1160594.

It is an arithmetic number, because the mean of its divisors is an integer number (121771755).

Almost surely, 2^2004014304 is an apocalyptic number.

2004014304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004014304 is an abundant number, since it is smaller than the sum of its proper divisors (3841029936).

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

2004014304 is a wasteful number, since it uses less digits than its factorization.

2004014304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319480 (or 2319466 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2004014304 is about 44766.2183348114. The cubic root of 2004014304 is about 1260.7634375644.

Adding to 2004014304 its reverse (4034104002), we get a palindrome (6038118306).

The spelling of 2004014304 in words is "two billion, four million, fourteen thousand, three hundred four".