2180601216 has 128 divisors (see below), whose sum is σ = 6610130400. Its totient is φ = 707180544.

The previous prime is 2180601197. The next prime is 2180601217. The reversal of 2180601216 is 6121060812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2180601216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180601217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119346 + ... + 136398.

Almost surely, 2^2180601216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305065200).

2180601216 is an abundant number, since it is smaller than the sum of its proper divisors (4429529184).

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

2180601216 is a wasteful number, since it uses less digits than its factorization.

2180601216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17113 (or 17095 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2180601216 is about 46696.9079918574. The cubic root of 2180601216 is about 1296.7574447438.

The spelling of 2180601216 in words is "two billion, one hundred eighty million, six hundred one thousand, two hundred sixteen".