2966117112 has 96 divisors (see below), whose sum is σ = 9262262880. Its totient is φ = 839946240.

The previous prime is 2966117027. The next prime is 2966117117. The reversal of 2966117112 is 2117116692.

2966117112 is a `hidden beast` number, since 29 + 6 + 611 + 7 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966117117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30912 + ... + 82992.

It is an arithmetic number, because the mean of its divisors is an integer number (96481905).

Almost surely, 2^2966117112 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 2966117112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631131440).

2966117112 is an abundant number, since it is smaller than the sum of its proper divisors (6296145768).

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

2966117112 is a wasteful number, since it uses less digits than its factorization.

2966117112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52213 (or 52206 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 2966117112 is about 54462.0703976630. The cubic root of 2966117112 is about 1436.7992682221.

The spelling of 2966117112 in words is "two billion, nine hundred sixty-six million, one hundred seventeen thousand, one hundred twelve".