2180080 has 80 divisors (see below), whose sum is σ = 6160320. Its totient is φ = 700416.

The previous prime is 2180071. The next prime is 2180083. The reversal of 2180080 is 800812.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180083) 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, 9406 + ... + 9634.

It is an arithmetic number, because the mean of its divisors is an integer number (77004).

2^2180080 is an apocalyptic number.

2180080 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 2180080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080160).

2180080 is an abundant number, since it is smaller than the sum of its proper divisors (3980240).

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

2180080 is a wasteful number, since it uses less digits than its factorization.

2180080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 2180080 is about 1476.5093971933. The cubic root of 2180080 is about 129.6654117799.

Adding to 2180080 its reverse (800812), we get a palindrome (2980892).

The spelling of 2180080 in words is "two million, one hundred eighty thousand, eighty".