2221120 has 56 divisors (see below), whose sum is σ = 5779008. Its totient is φ = 806400.

The previous prime is 2221111. The next prime is 2221127. The reversal of 2221120 is 211222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2221097 and 2221106.

It is not an unprimeable number, because it can be changed into a prime (2221127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3205 + ... + 3835.

2^2221120 is an apocalyptic number.

2221120 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 2221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889504).

2221120 is an abundant number, since it is smaller than the sum of its proper divisors (3557888).

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

2221120 is a wasteful number, since it uses less digits than its factorization.

2221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2221120 is about 1490.3422425738. The cubic root of 2221120 is about 130.4740092003.

Adding to 2221120 its reverse (211222), we get a palindrome (2432342).

It can be divided in two parts, 2 and 221120, that added together give a palindrome (221122).

The spelling of 2221120 in words is "two million, two hundred twenty-one thousand, one hundred twenty".