2180305140 has 96 divisors (see below), whose sum is σ = 6589005696. Its totient is φ = 535503360.

The previous prime is 2180305111. The next prime is 2180305147. The reversal of 2180305140 is 415030812.

It is a self number, because there is not a number n which added to its sum of digits gives 2180305140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180305147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380134 + ... + 385826.

It is an arithmetic number, because the mean of its divisors is an integer number (68635476).

Almost surely, 2^2180305140 is an apocalyptic number.

2180305140 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 2180305140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294502848).

2180305140 is an abundant number, since it is smaller than the sum of its proper divisors (4408700556).

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

2180305140 is a wasteful number, since it uses less digits than its factorization.

2180305140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2180305140 is about 46693.7376957553. The cubic root of 2180305140 is about 1296.6987520413.

Adding to 2180305140 its reverse (415030812), we get a palindrome (2595335952).

The spelling of 2180305140 in words is "two billion, one hundred eighty million, three hundred five thousand, one hundred forty".