2000114304 has 64 divisors (see below), whose sum is σ = 5387705280. Its totient is φ = 657305600.

The previous prime is 2000114297. The next prime is 2000114309. The reversal of 2000114304 is 4034110002.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2000114309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9417 + ... + 63944.

It is an arithmetic number, because the mean of its divisors is an integer number (84182895).

Almost surely, 2^2000114304 is an apocalyptic number.

2000114304 is a gapful number since it is divisible by the number (24) 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 2000114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693852640).

2000114304 is an abundant number, since it is smaller than the sum of its proper divisors (3387590976).

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

2000114304 is an equidigital number, since it uses as much as digits as its factorization.

2000114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73449 (or 73437 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2000114304 is about 44722.6374893074. The cubic root of 2000114304 is about 1259.9450517736.

Adding to 2000114304 its reverse (4034110002), we get a palindrome (6034224306).

The spelling of 2000114304 in words is "two billion, one hundred fourteen thousand, three hundred four".