2271177216 has 480 divisors, whose sum is σ = 8441566848. Its totient is φ = 570654720.

The previous prime is 2271177199. The next prime is 2271177263. The reversal of 2271177216 is 6127711722.

2271177216 is a `hidden beast` number, since 2 + 271 + 177 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13128106 + ... + 13128278.

Almost surely, 2^2271177216 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 2271177216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220783424).

2271177216 is an abundant number, since it is smaller than the sum of its proper divisors (6170389632).

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

2271177216 is a wasteful number, since it uses less digits than its factorization.

2271177216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 2271177216 is about 47656.8695572842. The cubic root of 2271177216 is about 1314.4689776673.

Adding to 2271177216 its reverse (6127711722), we get a palindrome (8398888938).

The spelling of 2271177216 in words is "two billion, two hundred seventy-one million, one hundred seventy-seven thousand, two hundred sixteen".