2120181760 has 96 divisors (see below), whose sum is σ = 5252083200. Its totient is φ = 820592640.

The previous prime is 2120181751. The next prime is 2120181761. The reversal of 2120181760 is 671810212.

It is not an unprimeable number, because it can be changed into a prime (2120181761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314101 + ... + 320779.

It is an arithmetic number, because the mean of its divisors is an integer number (54709200).

Almost surely, 2^2120181760 is an apocalyptic number.

2120181760 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 2120181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626041600).

2120181760 is an abundant number, since it is smaller than the sum of its proper divisors (3131901440).

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

2120181760 is an equidigital number, since it uses as much as digits as its factorization.

2120181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 2120181760 is about 46045.4314780522. The cubic root of 2120181760 is about 1284.6683696586.

Adding to 2120181760 its reverse (671810212), we get a palindrome (2791991972).

The spelling of 2120181760 in words is "two billion, one hundred twenty million, one hundred eighty-one thousand, seven hundred sixty".