2255736 has 64 divisors (see below), whose sum is σ = 6681600. Its totient is φ = 620928.

The previous prime is 2255731. The next prime is 2255749. The reversal of 2255736 is 6375522.

2255736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹¹ + 2²¹ + 5⁷ + 5⁷ + 7 + 3⁵ + 6² .

Its product of digits (12600) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255731) 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 15 ways as a sum of consecutive naturals, for example, 4641 + ... + 5103.

It is an arithmetic number, because the mean of its divisors is an integer number (104400).

2^2255736 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 2255736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340800).

2255736 is an abundant number, since it is smaller than the sum of its proper divisors (4425864).

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

2255736 is a wasteful number, since it uses less digits than its factorization.

2255736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 2255736 is about 1501.9107829695. The cubic root of 2255736 is about 131.1483276094.

The spelling of 2255736 in words is "two million, two hundred fifty-five thousand, seven hundred thirty-six".