2309120 has 88 divisors (see below), whose sum is σ = 6190128. Its totient is φ = 819200.

The previous prime is 2309117. The next prime is 2309123. The reversal of 2309120 is 219032.

It is an interprime number because it is at equal distance from previous prime (2309117) and next prime (2309123).

It is a tau number, because it is divible by the number of its divisors (88).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2309123) 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 7 ways as a sum of consecutive naturals, for example, 56300 + ... + 56340.

2^2309120 is an apocalyptic number.

2309120 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 2309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095064).

2309120 is an abundant number, since it is smaller than the sum of its proper divisors (3881008).

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

2309120 is a wasteful number, since it uses less digits than its factorization.

2309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2309120 is about 1519.5788890347. The cubic root of 2309120 is about 132.1748524563.

The spelling of 2309120 in words is "two million, three hundred nine thousand, one hundred twenty".