2014347264 has 128 divisors (see below), whose sum is σ = 5553173760. Its totient is φ = 648806400.

The previous prime is 2014347253. The next prime is 2014347271. The reversal of 2014347264 is 4627434102.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3047094 + ... + 3047754.

It is an arithmetic number, because the mean of its divisors is an integer number (43384170).

Almost surely, 2^2014347264 is an apocalyptic number.

2014347264 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 2014347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776586880).

2014347264 is an abundant number, since it is smaller than the sum of its proper divisors (3538826496).

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

2014347264 is an frugal number, since it uses more digits than its factorization.

2014347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2014347264 is about 44881.4801894946. The cubic root of 2014347264 is about 1262.9266110347.

The spelling of 2014347264 in words is "two billion, fourteen million, three hundred forty-seven thousand, two hundred sixty-four".