2014217256 has 64 divisors (see below), whose sum is σ = 5351719680. Its totient is φ = 629544960.

The previous prime is 2014217173. The next prime is 2014217263. The reversal of 2014217256 is 6527124102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101460 + ... + 119676.

It is an arithmetic number, because the mean of its divisors is an integer number (83620620).

Almost surely, 2^2014217256 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 2014217256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675859840).

2014217256 is an abundant number, since it is smaller than the sum of its proper divisors (3337502424).

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

2014217256 is a wasteful number, since it uses less digits than its factorization.

2014217256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18514 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2014217256 is about 44880.0318181705. The cubic root of 2014217256 is about 1262.8994402653.

The spelling of 2014217256 in words is "two billion, fourteen million, two hundred seventeen thousand, two hundred fifty-six".