2809000 has 48 divisors (see below), whose sum is σ = 6699420. Its totient is φ = 1102400.

The previous prime is 2808997. The next prime is 2809007. The reversal of 2809000 is 9082.

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.

2809000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 443556 + 2365444 = 666^2 + 1538^2 .

It is not an unprimeable number, because it can be changed into a prime (2809007) 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 11 ways as a sum of consecutive naturals, for example, 52974 + ... + 53026.

2^2809000 is an apocalyptic number.

2809000 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 2809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349710).

2809000 is an abundant number, since it is smaller than the sum of its proper divisors (3890420).

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

2809000 is an equidigital number, since it uses as much as digits as its factorization.

2809000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2809000 is about 1676.0071598892. The cubic root of 2809000 is about 141.0968266736.

The spelling of 2809000 in words is "two million, eight hundred nine thousand".