2271116889216 has 768 divisors, whose sum is σ = 7839641272320. Its totient is φ = 617495961600.

The previous prime is 2271116889211. The next prime is 2271116889253. The reversal of 2271116889216 is 6129886111722.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2271116889211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5269412521 + ... + 5269412951.

It is an arithmetic number, because the mean of its divisors is an integer number (10207866240).

Almost surely, 2^{2271116889216} 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 2271116889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919820636160).

2271116889216 is an abundant number, since it is smaller than the sum of its proper divisors (5568524383104).

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

2271116889216 is a wasteful number, since it uses less digits than its factorization.

2271116889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 778 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 2271116889216 in words is "two trillion, two hundred seventy-one billion, one hundred sixteen million, eight hundred eighty-nine thousand, two hundred sixteen".