2256971280 has 160 divisors (see below), whose sum is σ = 7198789248. Its totient is φ = 584601600.

The previous prime is 2256971257. The next prime is 2256971287. The reversal of 2256971280 is 821796522.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2256971287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3414150 + ... + 3414810.

Almost surely, 2^2256971280 is an apocalyptic number.

2256971280 is a gapful number since it is divisible by the number (20) 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 2256971280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599394624).

2256971280 is an abundant number, since it is smaller than the sum of its proper divisors (4941817968).

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

2256971280 is a wasteful number, since it uses less digits than its factorization.

2256971280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2256971280 is about 47507.5918143616. The cubic root of 2256971280 is about 1311.7226293732.

The spelling of 2256971280 in words is "two billion, two hundred fifty-six million, nine hundred seventy-one thousand, two hundred eighty".