2256266016 has 120 divisors (see below), whose sum is σ = 6649847820. Its totient is φ = 750477312.

The previous prime is 2256266011. The next prime is 2256266041. The reversal of 2256266016 is 6106626522.

2256266016 is a `hidden beast` number, since 2 + 25 + 6 + 26 + 601 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1536953616 + 719312400 = 39204^2 + 26820^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2256266011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2407500 + ... + 2408436.

Almost surely, 2^2256266016 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 2256266016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324923910).

2256266016 is an abundant number, since it is smaller than the sum of its proper divisors (4393581804).

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

2256266016 is an equidigital number, since it uses as much as digits as its factorization.

2256266016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2256266016 is about 47500.1685891745. The cubic root of 2256266016 is about 1311.5859850225.

The spelling of 2256266016 in words is "two billion, two hundred fifty-six million, two hundred sixty-six thousand, sixteen".