2198304 has 72 divisors (see below), whose sum is σ = 6633900. Its totient is φ = 688128.

The previous prime is 2198293. The next prime is 2198309. The reversal of 2198304 is 4038912.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 90000 = 1452^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4672 + ... + 5120.

2^2198304 is an apocalyptic number.

2198304 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 2198304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316950).

2198304 is an abundant number, since it is smaller than the sum of its proper divisors (4435596).

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

2198304 is a wasteful number, since it uses less digits than its factorization.

2198304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

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

The square root of 2198304 is about 1482.6678657069. The cubic root of 2198304 is about 130.0257148342.

The spelling of 2198304 in words is "two million, one hundred ninety-eight thousand, three hundred four".