2122800 has 120 divisors (see below), whose sum is σ = 7149840. Its totient is φ = 537600.

The previous prime is 2122793. The next prime is 2122817. The reversal of 2122800 is 82212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34770 + ... + 34830.

It is an arithmetic number, because the mean of its divisors is an integer number (59582).

2^2122800 is an apocalyptic number.

2122800 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 2122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574920).

2122800 is an abundant number, since it is smaller than the sum of its proper divisors (5027040).

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

2122800 is a wasteful number, since it uses less digits than its factorization.

2122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2122800 is about 1456.9831845289. The cubic root of 2122800 is about 128.5196970013.

The spelling of 2122800 in words is "two million, one hundred twenty-two thousand, eight hundred".