2256682950720 has 1008 divisors, whose sum is σ = 9011686320000. Its totient is φ = 516506664960.

The previous prime is 2256682950673. The next prime is 2256682950721. The reversal of 2256682950720 is 270592866522.

2256682950720 is a `hidden beast` number, since 2 + 2 + 56 + 6 + 82 + 9 + 507 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2256682950721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3767416981 + ... + 3767417579.

It is an arithmetic number, because the mean of its divisors is an integer number (8940165000).

Almost surely, 2^{2256682950720} is an apocalyptic number.

2256682950720 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 2256682950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505843160000).

2256682950720 is an abundant number, since it is smaller than the sum of its proper divisors (6755003369280).

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

2256682950720 is a wasteful number, since it uses less digits than its factorization.

2256682950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2256682950720 in words is "two trillion, two hundred fifty-six billion, six hundred eighty-two million, nine hundred fifty thousand, seven hundred twenty".