2882304 has 90 divisors (see below), whose sum is σ = 8656340. Its totient is φ = 953856.

The previous prime is 2882303. The next prime is 2882309. The reversal of 2882304 is 4032882.

2882304 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 nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2882303) 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 9 ways as a sum of consecutive naturals, for example, 20667 + ... + 20805.

2^2882304 is an apocalyptic number.

2882304 is a gapful number since it is divisible by the number (24) 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 2882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328170).

2882304 is an abundant number, since it is smaller than the sum of its proper divisors (5774036).

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

2882304 is an equidigital number, since it uses as much as digits as its factorization.

2882304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2882304 is about 1697.7349616474. The cubic root of 2882304 is about 142.3136622620.

The spelling of 2882304 in words is "two million, eight hundred eighty-two thousand, three hundred four".