2259936 has 144 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 601344.

The previous prime is 2259919. The next prime is 2259937. The reversal of 2259936 is 6399522.

2259936 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (29160) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 2259936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259937) 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 23 ways as a sum of consecutive naturals, for example, 38275 + ... + 38333.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2^2259936 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 2259936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2259936 is an abundant number, since it is smaller than the sum of its proper divisors (5602464).

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

2259936 is a wasteful number, since it uses less digits than its factorization.

2259936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 2259936 is about 1503.3083516032. The cubic root of 2259936 is about 131.2296730426.

The spelling of 2259936 in words is "two million, two hundred fifty-nine thousand, nine hundred thirty-six".