2249856 has 160 divisors (see below), whose sum is σ = 7898880. Its totient is φ = 622080.

The previous prime is 2249827. The next prime is 2249861. The reversal of 2249856 is 6589422.

It is a happy number.

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

It is a d-powerful number, because it can be written as 2 + 2¹⁵ + 4⁹ + 9 + 8³ + 5⁹ + 6⁴ .

Its product of digits (34560) is a multiple of the sum of its prime factors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2249856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72561 + ... + 72591.

It is an arithmetic number, because the mean of its divisors is an integer number (49368).

2^2249856 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 2249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949440).

2249856 is an abundant number, since it is smaller than the sum of its proper divisors (5649024).

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

2249856 is an equidigital number, since it uses as much as digits as its factorization.

2249856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 43 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2249856 is about 1499.9519992320. The cubic root of 2249856 is about 131.0342741933.

The spelling of 2249856 in words is "two million, two hundred forty-nine thousand, eight hundred fifty-six".