2112662112 has 192 divisors, whose sum is σ = 6274195200. Its totient is φ = 616826880.

The previous prime is 2112662053. The next prime is 2112662137.

2112662112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5430814 + ... + 5431202.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^2112662112 is an apocalyptic number.

2112662112 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 2112662112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137097600).

2112662112 is an abundant number, since it is smaller than the sum of its proper divisors (4161533088).

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

2112662112 is a wasteful number, since it uses less digits than its factorization.

2112662112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 2112662112 is about 45963.7042893629. The cubic root of 2112662112 is about 1283.1477929249.

It can be divided in two parts, 21126 and 62112, that added together give a palindrome (83238).

The spelling of 2112662112 in words is "two billion, one hundred twelve million, six hundred sixty-two thousand, one hundred twelve".