2353768256 has 56 divisors (see below), whose sum is σ = 5361553920. Its totient is φ = 1004308992.

The previous prime is 2353768253. The next prime is 2353768289. The reversal of 2353768256 is 6528673532.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2353768256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353768253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91121 + ... + 114063.

Almost surely, 2^2353768256 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 2353768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680776960).

2353768256 is an abundant number, since it is smaller than the sum of its proper divisors (3007785664).

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

2353768256 is a wasteful number, since it uses less digits than its factorization.

2353768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23191 (or 23181 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 47.

The square root of 2353768256 is about 48515.6495988665. The cubic root of 2353768256 is about 1330.2131408839.

The spelling of 2353768256 in words is "two billion, three hundred fifty-three million, seven hundred sixty-eight thousand, two hundred fifty-six".