2267120 has 40 divisors (see below), whose sum is σ = 5584464. Its totient is φ = 852992.

The previous prime is 2267117. The next prime is 2267129. The reversal of 2267120 is 217622.

2267120 is digitally balanced in base 2, 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2267092 and 2267101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527 + ... + 2193.

2^2267120 is an apocalyptic number.

2267120 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 2267120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792232).

2267120 is an abundant number, since it is smaller than the sum of its proper divisors (3317344).

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

2267120 is a wasteful number, since it uses less digits than its factorization.

2267120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2267120 is about 1505.6958524217. The cubic root of 2267120 is about 131.3685791552.

The spelling of 2267120 in words is "two million, two hundred sixty-seven thousand, one hundred twenty".