2281200 has 60 divisors (see below), whose sum is σ = 7311288. Its totient is φ = 608000.

The previous prime is 2281189. The next prime is 2281207. The reversal of 2281200 is 21822.

2281200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 2281200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250 + ... + 2150.

2^2281200 is an apocalyptic number.

2281200 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 2281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655644).

2281200 is an abundant number, since it is smaller than the sum of its proper divisors (5030088).

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

2281200 is a wasteful number, since it uses less digits than its factorization.

2281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1911 counting only the distinct ones).

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

The square root of 2281200 is about 1510.3641944909. The cubic root of 2281200 is about 131.6399739370.

The spelling of 2281200 in words is "two million, two hundred eighty-one thousand, two hundred".