2185360 has 40 divisors (see below), whose sum is σ = 5178240. Its totient is φ = 857472.

The previous prime is 2185357. The next prime is 2185363. The reversal of 2185360 is 635812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2185357) and next prime (2185363).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2185363) 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, 4489 + ... + 4951.

It is an arithmetic number, because the mean of its divisors is an integer number (129456).

2^2185360 is an apocalyptic number.

2185360 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 2185360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589120).

2185360 is an abundant number, since it is smaller than the sum of its proper divisors (2992880).

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

2185360 is a wasteful number, since it uses less digits than its factorization.

2185360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2185360 is about 1478.2963167106. The cubic root of 2185360 is about 129.7700075448.

The spelling of 2185360 in words is "two million, one hundred eighty-five thousand, three hundred sixty".