2274336 has 72 divisors (see below), whose sum is σ = 6633900. Its totient is φ = 738816.

The previous prime is 2274329. The next prime is 2274341. The reversal of 2274336 is 6334722.

2274336 is a `hidden beast` number, since 227 + 433 + 6 = 666.

2274336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 24336 = 1500^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15190 + ... + 15338.

2^2274336 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 2274336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316950).

2274336 is an abundant number, since it is smaller than the sum of its proper divisors (4359564).

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

2274336 is a wasteful number, since it uses less digits than its factorization.

2274336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 2274336 is about 1508.0901829798. The cubic root of 2274336 is about 131.5078089114.

The spelling of 2274336 in words is "two million, two hundred seventy-four thousand, three hundred thirty-six".