2084112 has 60 divisors (see below), whose sum is σ = 5991804. Its totient is φ = 675840.

The previous prime is 2084111. The next prime is 2084123. The reversal of 2084112 is 2114802.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 1679616 = 636^2 + 1296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2084111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5728 + ... + 6080.

2^2084112 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 2084112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995902).

2084112 is an abundant number, since it is smaller than the sum of its proper divisors (3907692).

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

2084112 is a wasteful number, since it uses less digits than its factorization.

2084112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

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

The square root of 2084112 is about 1443.6453858202. The cubic root of 2084112 is about 127.7341487399.

Adding to 2084112 its reverse (2114802), we get a palindrome (4198914).

The spelling of 2084112 in words is "two million, eighty-four thousand, one hundred twelve".