2261328168 has 256 divisors, whose sum is σ = 7178803200. Its totient is φ = 583925760.

The previous prime is 2261328163. The next prime is 2261328169. The reversal of 2261328168 is 8618231622.

It is a super-2 number, since 2×2261328168² = 10227210166780472448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2261328163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1960680 + ... + 1961832.

It is an arithmetic number, because the mean of its divisors is an integer number (28042200).

Almost surely, 2^2261328168 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 2261328168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589401600).

2261328168 is an abundant number, since it is smaller than the sum of its proper divisors (4917475032).

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

2261328168 is a wasteful number, since it uses less digits than its factorization.

2261328168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1228 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2261328168 is about 47553.4243561912. The cubic root of 2261328168 is about 1312.5661425534.

The spelling of 2261328168 in words is "two billion, two hundred sixty-one million, three hundred twenty-eight thousand, one hundred sixty-eight".