2271505968 has 120 divisors (see below), whose sum is σ = 6641375520. Its totient is φ = 723824640.

The previous prime is 2271505913. The next prime is 2271505969. The reversal of 2271505968 is 8695051722.

2271505968 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 50 + 596 + 8 = 666.

It is a Smith number, since the sum of its digits (45) 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 (2271505969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427488 + ... + 432768.

It is an arithmetic number, because the mean of its divisors is an integer number (55344796).

Almost surely, 2^2271505968 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 2271505968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320687760).

2271505968 is an abundant number, since it is smaller than the sum of its proper divisors (4369869552).

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

2271505968 is a wasteful number, since it uses less digits than its factorization.

2271505968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2271505968 is about 47660.3185889478. The cubic root of 2271505968 is about 1314.5323975615.

The spelling of 2271505968 in words is "two billion, two hundred seventy-one million, five hundred five thousand, nine hundred sixty-eight".