2271866496 has 128 divisors (see below), whose sum is σ = 6445094400. Its totient is φ = 707481600.

The previous prime is 2271866491. The next prime is 2271866501. The reversal of 2271866496 is 6946681722.

It is an interprime number because it is at equal distance from previous prime (2271866491) and next prime (2271866501).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2271866496² = 10322754751294636032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2271866491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341926 + ... + 348506.

It is an arithmetic number, because the mean of its divisors is an integer number (50352300).

Almost surely, 2^2271866496 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 2271866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222547200).

2271866496 is an abundant number, since it is smaller than the sum of its proper divisors (4173227904).

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

2271866496 is a wasteful number, since it uses less digits than its factorization.

2271866496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658 (or 6646 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 2271866496 is about 47664.1007048282. The cubic root of 2271866496 is about 1314.6019403629.

The spelling of 2271866496 in words is "two billion, two hundred seventy-one million, eight hundred sixty-six thousand, four hundred ninety-six".