2241120 has 192 divisors, whose sum is σ = 8709120. Its totient is φ = 473088.

The previous prime is 2241119. The next prime is 2241121. The reversal of 2241120 is 211422.

It is an interprime number because it is at equal distance from previous prime (2241119) and next prime (2241121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2241096 and 2241105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241121) 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 31 ways as a sum of consecutive naturals, for example, 77266 + ... + 77294.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2^2241120 is an apocalyptic number.

2241120 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 2241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2241120 is an abundant number, since it is smaller than the sum of its proper divisors (6468000).

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

2241120 is a wasteful number, since it uses less digits than its factorization.

2241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2241120 is about 1497.0370736892. The cubic root of 2241120 is about 130.8644558828.

Adding to 2241120 its reverse (211422), we get a palindrome (2452542).

The spelling of 2241120 in words is "two million, two hundred forty-one thousand, one hundred twenty".