2811866112 has 132 divisors (see below), whose sum is σ = 8857631016. Its totient is φ = 852049920.

The previous prime is 2811866093. The next prime is 2811866131. The reversal of 2811866112 is 2116681182.

2811866112 is a `hidden beast` number, since 28 + 1 + 18 + 6 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2811866093) and next prime (2811866131).

It is a tau number, because it is divible by the number of its divisors (132).

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 and also a Zuckerman number because it is divisible by the product of its digits.

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 11 ways as a sum of consecutive naturals, for example, 87508 + ... + 115244.

Almost surely, 2^2811866112 is an apocalyptic number.

2811866112 is a gapful number since it is divisible by the number (22) 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 2811866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428815508).

2811866112 is an abundant number, since it is smaller than the sum of its proper divisors (6045764904).

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

2811866112 is a wasteful number, since it uses less digits than its factorization.

2811866112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27774 (or 27753 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 2811866112 is about 53027.0318988344. The cubic root of 2811866112 is about 1411.4479888742.

The spelling of 2811866112 in words is "two billion, eight hundred eleven million, eight hundred sixty-six thousand, one hundred twelve".