2271856896 has 135 divisors (see below), whose sum is σ = 6794794083. Its totient is φ = 754997760.

The previous prime is 2271856841. The next prime is 2271856903. The reversal of 2271856896 is 6986581722.

The square root of 2271856896 is 47664.

It is a perfect power (a square), and thus also a powerful number.

2271856896 is a `hidden beast` number, since 2 + 2 + 71 + 8 + 568 + 9 + 6 = 666.

It is a super-2 number, since 2×2271856896² = 10322667511805509632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6863451 + ... + 6863781.

Almost surely, 2^2271856896 is an apocalyptic number.

2271856896 is the 47664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271856896

2271856896 is an abundant number, since it is smaller than the sum of its proper divisors (4522937187).

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

2271856896 is an frugal number, since it uses more digits than its factorization.

2271856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 336 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The cubic root of 2271856896 is about 1314.6000886994.

The spelling of 2271856896 in words is "two billion, two hundred seventy-one million, eight hundred fifty-six thousand, eight hundred ninety-six".