2112800 has 72 divisors (see below), whose sum is σ = 5468400. Its totient is φ = 794880.

The previous prime is 2112793. The next prime is 2112821. The reversal of 2112800 is 82112.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15131 + ... + 15269.

It is an arithmetic number, because the mean of its divisors is an integer number (75950).

2^2112800 is an apocalyptic number.

2112800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734200).

2112800 is an abundant number, since it is smaller than the sum of its proper divisors (3355600).

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

2112800 is a wasteful number, since it uses less digits than its factorization.

2112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2112800 is about 1453.5473848485. The cubic root of 2112800 is about 128.3175708232.

Adding to 2112800 its reverse (82112), we get a palindrome (2194912).

It can be divided in two parts, 21 and 12800, that added together give a palindrome (12821).

The spelling of 2112800 in words is "two million, one hundred twelve thousand, eight hundred".