2271338496 has 336 divisors, whose sum is σ = 7823996544. Its totient is φ = 644972544.

The previous prime is 2271338491. The next prime is 2271338507. The reversal of 2271338496 is 6948331722.

2271338496 is a `hidden beast` number, since 2 + 27 + 133 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×2271338496³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271338491) 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, 13934511 + ... + 13934673.

It is an arithmetic number, because the mean of its divisors is an integer number (23285704).

Almost surely, 2^2271338496 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 2271338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911998272).

2271338496 is an abundant number, since it is smaller than the sum of its proper divisors (5552658048).

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

2271338496 is an frugal number, since it uses more digits than its factorization.

2271338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2271338496 is about 47658.5616232802. The cubic root of 2271338496 is about 1314.5000911264.

The spelling of 2271338496 in words is "two billion, two hundred seventy-one million, three hundred thirty-eight thousand, four hundred ninety-six".