2112084 has 36 divisors (see below), whose sum is σ = 5750836. Its totient is φ = 649728.

The previous prime is 2112079. The next prime is 2112107. The reversal of 2112084 is 4802112.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 2022084 = 300^2 + 1422^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1789 + ... + 2724.

2^2112084 is an apocalyptic number.

It is an amenable number.

2112084 is an abundant number, since it is smaller than the sum of its proper divisors (3638752).

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

2112084 is a wasteful number, since it uses less digits than its factorization.

2112084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4531 counting only the distinct ones).

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

The square root of 2112084 is about 1453.3010699783. The cubic root of 2112084 is about 128.3030741425.

Adding to 2112084 its reverse (4802112), we get a palindrome (6914196).

The spelling of 2112084 in words is "two million, one hundred twelve thousand, eighty-four".