2271768576 has 312 divisors, whose sum is σ = 7709238144. Its totient is φ = 590069760.

The previous prime is 2271768559. The next prime is 2271768589. The reversal of 2271768576 is 6758671722.

It is a super-3 number, since 3×2271768576³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206524411 + ... + 206524421.

Almost surely, 2^2271768576 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 2271768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854619072).

2271768576 is an abundant number, since it is smaller than the sum of its proper divisors (5437469568).

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

2271768576 is an frugal number, since it uses more digits than its factorization.

2271768576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 2271768576 is about 47663.0735055976. The cubic root of 2271768576 is about 1314.5830531510.

The spelling of 2271768576 in words is "two billion, two hundred seventy-one million, seven hundred sixty-eight thousand, five hundred seventy-six".