2256849660 has 144 divisors (see below), whose sum is σ = 6898953600. Its totient is φ = 550967040.

The previous prime is 2256849653. The next prime is 2256849667. The reversal of 2256849660 is 669486522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2256849653) and next prime (2256849667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256849667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327491 + ... + 1329189.

It is an arithmetic number, because the mean of its divisors is an integer number (47909400).

Almost surely, 2^2256849660 is an apocalyptic number.

2256849660 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 2256849660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449476800).

2256849660 is an abundant number, since it is smaller than the sum of its proper divisors (4642103940).

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

2256849660 is a wasteful number, since it uses less digits than its factorization.

2256849660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 2256849660 is about 47506.3117911715. The cubic root of 2256849660 is about 1311.6990676243.

The spelling of 2256849660 in words is "two billion, two hundred fifty-six million, eight hundred forty-nine thousand, six hundred sixty".