2011168768 has 88 divisors (see below), whose sum is σ = 4630510512. Its totient is φ = 855638016.

The previous prime is 2011168729. The next prime is 2011168801. The reversal of 2011168768 is 8678611102.

It is a self number, because there is not a number n which added to its sum of digits gives 2011168768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14679996 + ... + 14680132.

Almost surely, 2^2011168768 is an apocalyptic number.

2011168768 is a gapful number since it is divisible by the number (28) 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 2011168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315255256).

2011168768 is an abundant number, since it is smaller than the sum of its proper divisors (2619341744).

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

2011168768 is an frugal number, since it uses more digits than its factorization.

2011168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 2011168768 is about 44846.0563260584. The cubic root of 2011168768 is about 1262.2619920316.

The spelling of 2011168768 in words is "two billion, eleven million, one hundred sixty-eight thousand, seven hundred sixty-eight".