2112824 has 32 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 873600.

The previous prime is 2112821. The next prime is 2112827. The reversal of 2112824 is 4282112.

2112824 = T₆₇ + T₆₈ + ... + T₂₃₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112821) and next prime (2112827).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2112796 and 2112805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

2^2112824 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 2112824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2112824 is an abundant number, since it is smaller than the sum of its proper divisors (2574376).

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

2112824 is a wasteful number, since it uses less digits than its factorization.

2112824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1339 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2112824 is about 1453.5556404899. Note that the first 3 decimals coincide. The cubic root of 2112824 is about 128.3180566887.

Adding to 2112824 its reverse (4282112), we get a palindrome (6394936).

The spelling of 2112824 in words is "two million, one hundred twelve thousand, eight hundred twenty-four".