2014880256 has 240 divisors, whose sum is σ = 6247870200. Its totient is φ = 625016832.

The previous prime is 2014880249. The next prime is 2014880297. The reversal of 2014880256 is 6520884102.

It can be written as a sum of positive squares in 4 ways, for example, as 1537894656 + 476985600 = 39216^2 + 21840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2014880256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22639060 + ... + 22639148.

Almost surely, 2^2014880256 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 2014880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123935100).

2014880256 is an abundant number, since it is smaller than the sum of its proper divisors (4232989944).

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

2014880256 is an frugal number, since it uses more digits than its factorization.

2014880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2014880256 is about 44887.4175688466. The cubic root of 2014880256 is about 1263.0379904431.

The spelling of 2014880256 in words is "two billion, fourteen million, eight hundred eighty thousand, two hundred fifty-six".