2180832768 has 320 divisors, whose sum is σ = 7110259200. Its totient is φ = 658741248.

The previous prime is 2180832721. The next prime is 2180832803. The reversal of 2180832768 is 8672380812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94818805 + ... + 94818827.

It is an arithmetic number, because the mean of its divisors is an integer number (22219560).

Almost surely, 2^2180832768 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 2180832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555129600).

2180832768 is an abundant number, since it is smaller than the sum of its proper divisors (4929426432).

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

2180832768 is an frugal number, since it uses more digits than its factorization.

2180832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2180832768 is about 46699.3872336672. The cubic root of 2180832768 is about 1296.8033428123.

The spelling of 2180832768 in words is "two billion, one hundred eighty million, eight hundred thirty-two thousand, seven hundred sixty-eight".