2289800 has 36 divisors (see below), whose sum is σ = 5374005. Its totient is φ = 907360.

The previous prime is 2289779. The next prime is 2289803. The reversal of 2289800 is 89822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2244004 + 45796 = 1498^2 + 214^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1070.

It is not an unprimeable number, because it can be changed into a prime (2289803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21347 + ... + 21453.

2^2289800 is an apocalyptic number.

2289800 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 2289800

2289800 is an abundant number, since it is smaller than the sum of its proper divisors (3084205).

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

2289800 is a wasteful number, since it uses less digits than its factorization.

2289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2289800 is about 1513.2085117392. The cubic root of 2289800 is about 131.8051916720.

The spelling of 2289800 in words is "two million, two hundred eighty-nine thousand, eight hundred".