2261681568 has 192 divisors, whose sum is σ = 6981811200. Its totient is φ = 710311680.

The previous prime is 2261681557. The next prime is 2261681593. The reversal of 2261681568 is 8651861622.

2261681568 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 6 + 81 + 568 = 666.

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5105155 + ... + 5105597.

It is an arithmetic number, because the mean of its divisors is an integer number (36363600).

Almost surely, 2^2261681568 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 2261681568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490905600).

2261681568 is an abundant number, since it is smaller than the sum of its proper divisors (4720129632).

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

2261681568 is a wasteful number, since it uses less digits than its factorization.

2261681568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 778 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2261681568 is about 47557.1400317555. The cubic root of 2261681568 is about 1312.6345148665.

The spelling of 2261681568 in words is "two billion, two hundred sixty-one million, six hundred eighty-one thousand, five hundred sixty-eight".