2271264 has 48 divisors (see below), whose sum is σ = 6078240. Its totient is φ = 742400.

The previous prime is 2271263. The next prime is 2271271. The reversal of 2271264 is 4621722.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5464 + ... + 5864.

It is an arithmetic number, because the mean of its divisors is an integer number (126630).

2^2271264 is an apocalyptic number.

2271264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039120).

2271264 is an abundant number, since it is smaller than the sum of its proper divisors (3806976).

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

2271264 is a wasteful number, since it uses less digits than its factorization.

2271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 2271264 is about 1507.0713320875. The cubic root of 2271264 is about 131.4485719855.

Adding to 2271264 its reverse (4621722), we get a palindrome (6892986).

The spelling of 2271264 in words is "two million, two hundred seventy-one thousand, two hundred sixty-four".