2010114304 has 72 divisors (see below), whose sum is σ = 4411360800. Its totient is φ = 906547200.

The previous prime is 2010114287. The next prime is 2010114311. The reversal of 2010114304 is 4034110102.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 366172 + ... + 371620.

It is an arithmetic number, because the mean of its divisors is an integer number (61268900).

Almost surely, 2^2010114304 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 2010114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205680400).

2010114304 is an abundant number, since it is smaller than the sum of its proper divisors (2401246496).

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

2010114304 is a wasteful number, since it uses less digits than its factorization.

2010114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2010114304 is about 44834.2982994047. The cubic root of 2010114304 is about 1262.0413504266.

Adding to 2010114304 its reverse (4034110102), we get a palindrome (6044224406).

The spelling of 2010114304 in words is "two billion, ten million, one hundred fourteen thousand, three hundred four".