2282112 has 96 divisors (see below), whose sum is σ = 7531680. Its totient is φ = 649728.

The previous prime is 2282099. The next prime is 2282141. The reversal of 2282112 is 2112822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7923 + ... + 8205.

It is an arithmetic number, because the mean of its divisors is an integer number (78455).

2^2282112 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 2282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765840).

2282112 is an abundant number, since it is smaller than the sum of its proper divisors (5249568).

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

2282112 is a wasteful number, since it uses less digits than its factorization.

2282112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 2282112 is about 1510.6660782582. Note that the first 3 decimals coincide. The cubic root of 2282112 is about 131.6575143632.

Adding to 2282112 its reverse (2112822), we get a palindrome (4394934).

The spelling of 2282112 in words is "two million, two hundred eighty-two thousand, one hundred twelve".