2281120 has 48 divisors (see below), whose sum is σ = 5511240. Its totient is φ = 891904.

The previous prime is 2281109. The next prime is 2281127. The reversal of 2281120 is 211822.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 753424 = 1236^2 + 868^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2281094 and 2281103.

It is not an unprimeable number, because it can be changed into a prime (2281127) 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, 8346 + ... + 8614.

2^2281120 is an apocalyptic number.

2281120 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 2281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755620).

2281120 is an abundant number, since it is smaller than the sum of its proper divisors (3230120).

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

2281120 is a wasteful number, since it uses less digits than its factorization.

2281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2281120 is about 1510.3377105800. The cubic root of 2281120 is about 131.6384350801.

Adding to 2281120 its reverse (211822), we get a palindrome (2492942).

It can be divided in two parts, 2281 and 120, that added together give a 4-th power (2401 = 7⁴).

The spelling of 2281120 in words is "two million, two hundred eighty-one thousand, one hundred twenty".