2268136 has 32 divisors (see below), whose sum is σ = 4644360. Its totient is φ = 1032192.

The previous prime is 2268131. The next prime is 2268139. The reversal of 2268136 is 6318622.

2268136 is digitally balanced in base 2, 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 4 ways, for example, as 562500 + 1705636 = 750^2 + 1306^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2268131) 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, 11656 + ... + 11848.

2^2268136 is an apocalyptic number.

2268136 is a gapful number since it is divisible by the number (26) 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 2268136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322180).

2268136 is an abundant number, since it is smaller than the sum of its proper divisors (2376224).

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

2268136 is a wasteful number, since it uses less digits than its factorization.

2268136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 2268136 is about 1506.0332001653. The cubic root of 2268136 is about 131.3882003108.

It can be divided in two parts, 226 and 8136, that multiplied together give a square (1838736 = 1356²).

The spelling of 2268136 in words is "two million, two hundred sixty-eight thousand, one hundred thirty-six".