2277264 has 80 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 650880.

The previous prime is 2277259. The next prime is 2277287. The reversal of 2277264 is 4627722.

2277264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9919 + ... + 10145.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

2^2277264 is an apocalyptic number.

2277264 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 2277264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2277264 is an abundant number, since it is smaller than the sum of its proper divisors (4508016).

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

2277264 is a wasteful number, since it uses less digits than its factorization.

2277264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 2277264 is about 1509.0606349647. The cubic root of 2277264 is about 131.5642194772.

The spelling of 2277264 in words is "two million, two hundred seventy-seven thousand, two hundred sixty-four".