2271182980 has 48 divisors (see below), whose sum is σ = 5218960320. Its totient is φ = 823363200.

The previous prime is 2271182957. The next prime is 2271182981. The reversal of 2271182980 is 892811722.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2271182981) 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, 57226 + ... + 88414.

It is an arithmetic number, because the mean of its divisors is an integer number (108728340).

Almost surely, 2^2271182980 is an apocalyptic number.

2271182980 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 2271182980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609480160).

2271182980 is an abundant number, since it is smaller than the sum of its proper divisors (2947777340).

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

2271182980 is a wasteful number, since it uses less digits than its factorization.

2271182980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31540 (or 31538 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 2271182980 is about 47656.9300312137. The cubic root of 2271182980 is about 1314.4700896593.

The spelling of 2271182980 in words is "two billion, two hundred seventy-one million, one hundred eighty-two thousand, nine hundred eighty".