2289600 has 168 divisors, whose sum is σ = 8503920. Its totient is φ = 599040.

The previous prime is 2289593. The next prime is 2289601. The reversal of 2289600 is 69822.

2289600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289601) 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, 43174 + ... + 43226.

2^2289600 is an apocalyptic number.

2289600 is a gapful number since it is divisible by the number (20) 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 2289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251960).

2289600 is an abundant number, since it is smaller than the sum of its proper divisors (6214320).

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

2289600 is a wasteful number, since it uses less digits than its factorization.

2289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2289600 is about 1513.1424255502. The cubic root of 2289600 is about 131.8013541017.

The spelling of 2289600 in words is "two million, two hundred eighty-nine thousand, six hundred".