2271627264 has 48 divisors (see below), whose sum is σ = 6056210160. Its totient is φ = 757207040.

The previous prime is 2271627257. The next prime is 2271627271. The reversal of 2271627264 is 4627261722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2271627257) and next prime (2271627271).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178722 + ... + 191009.

It is an arithmetic number, because the mean of its divisors is an integer number (126171045).

Almost surely, 2^2271627264 is an apocalyptic number.

2271627264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2271627264 is an abundant number, since it is smaller than the sum of its proper divisors (3784582896).

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

2271627264 is an equidigital number, since it uses as much as digits as its factorization.

2271627264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369756 (or 369736 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 2271627264 is about 47661.5910770927. The cubic root of 2271627264 is about 1314.5557953552. Note that the first 3 decimals are identical.

Adding to 2271627264 its reverse (4627261722), we get a palindrome (6898888986).

The spelling of 2271627264 in words is "two billion, two hundred seventy-one million, six hundred twenty-seven thousand, two hundred sixty-four".