2014000900 has 36 divisors (see below), whose sum is σ = 4377137380. Its totient is φ = 804355200.

The previous prime is 2014000889. The next prime is 2014000907. The reversal of 2014000900 is 90004102.

It can be written as a sum of positive squares in 6 ways, for example, as 1401856 + 2012599044 = 1184^2 + 44862^2 .

It is not an unprimeable number, because it can be changed into a prime (2014000907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50866 + ... + 81334.

Almost surely, 2^2014000900 is an apocalyptic number.

2014000900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014000900 is an abundant number, since it is smaller than the sum of its proper divisors (2363136480).

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

2014000900 is a wasteful number, since it uses less digits than its factorization.

2014000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31144 (or 31137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2014000900 is about 44877.6213719043. The cubic root of 2014000900 is about 1262.8542207714.

The spelling of 2014000900 in words is "two billion, fourteen million, nine hundred", and thus it is an aban number.