2211120 has 120 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 566784.

The previous prime is 2211109. The next prime is 2211127. The reversal of 2211120 is 211122.

2211120 is digitally balanced in base 5, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2211127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26599 + ... + 26681.

2^2211120 is an apocalyptic number.

2211120 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 2211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

2211120 is an abundant number, since it is smaller than the sum of its proper divisors (5507136).

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

2211120 is a wasteful number, since it uses less digits than its factorization.

2211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2211120 is about 1486.9835237823. The cubic root of 2211120 is about 130.2779064705.

Adding to 2211120 its reverse (211122), we get a palindrome (2422242).

The spelling of 2211120 in words is "two million, two hundred eleven thousand, one hundred twenty".