2255712966 has 144 divisors (see below), whose sum is σ = 5716223136. Its totient is φ = 640134144.

The previous prime is 2255712941. The next prime is 2255713001. The reversal of 2255712966 is 6692175522.

2255712966 is a `hidden beast` number, since 2 + 2 + 557 + 1 + 2 + 96 + 6 = 666.

2255712966 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2740431 + ... + 2741253.

It is an arithmetic number, because the mean of its divisors is an integer number (39695994).

Almost surely, 2^2255712966 is an apocalyptic number.

2255712966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255712966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858111568).

2255712966 is an abundant number, since it is smaller than the sum of its proper divisors (3460510170).

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

2255712966 is a wasteful number, since it uses less digits than its factorization.

2255712966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 911 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 2255712966 is about 47494.3466741043. The cubic root of 2255712966 is about 1311.4788120947.

The spelling of 2255712966 in words is "two billion, two hundred fifty-five million, seven hundred twelve thousand, nine hundred sixty-six".