2277312 has 56 divisors (see below), whose sum is σ = 6248400. Its totient is φ = 731136.

The previous prime is 2277311. The next prime is 2277329. The reversal of 2277312 is 2137722.

2277312 is nontrivially palindromic in base 7.

2277312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2277312² = 10372299890688, which contains 22 as substring.

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 (2277311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5364 + ... + 5772.

2^2277312 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 2277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124200).

2277312 is an abundant number, since it is smaller than the sum of its proper divisors (3971088).

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

2277312 is a wasteful number, since it uses less digits than its factorization.

2277312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 2277312 is about 1509.0765388144. The cubic root of 2277312 is about 131.5651438376.

The spelling of 2277312 in words is "two million, two hundred seventy-seven thousand, three hundred twelve".