2235120 has 80 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 582912.

The previous prime is 2235091. The next prime is 2235127. The reversal of 2235120 is 215322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2235120² = 9991522828800, which contains 22 as substring.

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 2235120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16011 + ... + 16149.

It is an arithmetic number, because the mean of its divisors is an integer number (88536).

2^2235120 is an apocalyptic number.

2235120 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 2235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

2235120 is an abundant number, since it is smaller than the sum of its proper divisors (4847760).

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

2235120 is a wasteful number, since it uses less digits than its factorization.

2235120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2235120 is about 1495.0317722376. The cubic root of 2235120 is about 130.7475666356.

The spelling of 2235120 in words is "two million, two hundred thirty-five thousand, one hundred twenty".