2112816 has 20 divisors (see below), whose sum is σ = 5458232. Its totient is φ = 704256.

The previous prime is 2112793. The next prime is 2112821. The reversal of 2112816 is 6182112.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112792 and 2112801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21961 + ... + 22056.

2^2112816 is an apocalyptic number.

It is an amenable number.

2112816 is an abundant number, since it is smaller than the sum of its proper divisors (3345416).

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

2112816 is a wasteful number, since it uses less digits than its factorization.

2112816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44028 (or 44022 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 2112816 is about 1453.5528886147. The cubic root of 2112816 is about 128.3178947339.

Adding to 2112816 its reverse (6182112), we get a palindrome (8294928).

The spelling of 2112816 in words is "two million, one hundred twelve thousand, eight hundred sixteen".