2112896 has 32 divisors (see below), whose sum is σ = 4461480. Its totient is φ = 993280.

The previous prime is 2112893. The next prime is 2112919. The reversal of 2112896 is 6982112.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112893) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1691 + ... + 2661.

2^2112896 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 2112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230740).

2112896 is an abundant number, since it is smaller than the sum of its proper divisors (2348584).

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

2112896 is an equidigital number, since it uses as much as digits as its factorization.

2112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 990 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 2112896 is about 1453.5804071327. The cubic root of 2112896 is about 128.3195142632.

The spelling of 2112896 in words is "two million, one hundred twelve thousand, eight hundred ninety-six".