2191116366 has 128 divisors (see below), whose sum is σ = 5458752000. Its totient is φ = 647419392.

The previous prime is 2191116341. The next prime is 2191116377. The reversal of 2191116366 is 6636111912.

2191116366 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 11 + 636 + 6 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2191116366.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4691665 + ... + 4692131.

It is an arithmetic number, because the mean of its divisors is an integer number (42646500).

Almost surely, 2^2191116366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191116366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729376000).

2191116366 is an abundant number, since it is smaller than the sum of its proper divisors (3267635634).

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

2191116366 is a wasteful number, since it uses less digits than its factorization.

2191116366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 2191116366 is about 46809.3619482257. The cubic root of 2191116366 is about 1298.8384824432.

The spelling of 2191116366 in words is "two billion, one hundred ninety-one million, one hundred sixteen thousand, three hundred sixty-six".