2181120 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 573440.

The previous prime is 2181097. The next prime is 2181131. The reversal of 2181120 is 211812.

It is a tau number, because it is divible by the number of its divisors (96).

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 2181120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30685 + ... + 30755.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^2181120 is an apocalyptic number.

2181120 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 2181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2181120 is an abundant number, since it is smaller than the sum of its proper divisors (4895040).

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

2181120 is an equidigital number, since it uses as much as digits as its factorization.

2181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 2181120 is about 1476.8615371794. The cubic root of 2181120 is about 129.6860273215.

Adding to 2181120 its reverse (211812), we get a palindrome (2392932).

The spelling of 2181120 in words is "two million, one hundred eighty-one thousand, one hundred twenty".