2256293682216 has 192 divisors, whose sum is σ = 7368092160000. Its totient is φ = 609333798528.

The previous prime is 2256293682187. The next prime is 2256293682217. The reversal of 2256293682216 is 6122863926522.

2256293682216 is a `hidden beast` number, since 2 + 2 + 5 + 62 + 9 + 368 + 2 + 216 = 666.

It is a super-2 number, since 2×2256293682216² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2256293682217) 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, 3935505 + ... + 4472223.

It is an arithmetic number, because the mean of its divisors is an integer number (38375480000).

Almost surely, 2^{2256293682216} 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 2256293682216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684046080000).

2256293682216 is an abundant number, since it is smaller than the sum of its proper divisors (5111798477784).

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

2256293682216 is a wasteful number, since it uses less digits than its factorization.

2256293682216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537196 (or 537189 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 2256293682216 in words is "two trillion, two hundred fifty-six billion, two hundred ninety-three million, six hundred eighty-two thousand, two hundred sixteen".