2255565312 has 640 divisors, whose sum is σ = 9019422720. Its totient is φ = 537477120.

The previous prime is 2255565307. The next prime is 2255565317. The reversal of 2255565312 is 2135655522.

2255565312 is a `hidden beast` number, since 22 + 55 + 56 + 531 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2255565307) and next prime (2255565317).

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 (2255565317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13837743 + ... + 13837905.

It is an arithmetic number, because the mean of its divisors is an integer number (14092848).

Almost surely, 2^2255565312 is an apocalyptic number.

2255565312 is a gapful number since it is divisible by the number (22) 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 2255565312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509711360).

2255565312 is an abundant number, since it is smaller than the sum of its proper divisors (6763857408).

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

2255565312 is a wasteful number, since it uses less digits than its factorization.

2255565312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 2255565312 is about 47492.7922110292. The cubic root of 2255565312 is about 1311.4501959660.

The spelling of 2255565312 in words is "two billion, two hundred fifty-five million, five hundred sixty-five thousand, three hundred twelve".