2809248 has 48 divisors (see below), whose sum is σ = 7945056. Its totient is φ = 864000.

The previous prime is 2809241. The next prime is 2809249. The reversal of 2809248 is 8429082.

2809248 is digitally balanced in base 2, because in such base 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 (48).

It is not an unprimeable number, because it can be changed into a prime (2809241) 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 7 ways as a sum of consecutive naturals, for example, 123 + ... + 2373.

It is an arithmetic number, because the mean of its divisors is an integer number (165522).

2^2809248 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 2809248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972528).

2809248 is an abundant number, since it is smaller than the sum of its proper divisors (5135808).

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

2809248 is a wasteful number, since it uses less digits than its factorization.

2809248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2809248 is about 1676.0811436204. The cubic root of 2809248 is about 141.1009789204.

The spelling of 2809248 in words is "two million, eight hundred nine thousand, two hundred forty-eight".