2268735 has 64 divisors (see below), whose sum is σ = 4644864. Its totient is φ = 921600.

The previous prime is 2268719. The next prime is 2268779. The reversal of 2268735 is 5378622.

2268735 = T₃₄ + T₃₅ + ... + T₂₃₈.

It is not a de Polignac number, because 2268735 - 2⁴ = 2268719 is a prime.

It is a d-powerful number, because it can be written as 2¹⁶ + 2¹⁶ + 6⁵ + 8² + 7⁶ + 3¹⁰ + 5⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 2268696 and 2268705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55315 + ... + 55355.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2^2268735 is an apocalyptic number.

2268735 is the 1230-th pentagonal number.

2268735 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2268735 is a wasteful number, since it uses less digits than its factorization.

2268735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its digits is 20160, while the sum is 33.

The square root of 2268735 is about 1506.2320538350. The cubic root of 2268735 is about 131.3997655498.

It can be divided in two parts, 22687 and 35, that added together give a palindrome (22722).

The spelling of 2268735 in words is "two million, two hundred sixty-eight thousand, seven hundred thirty-five".