2198912 has 32 divisors (see below), whose sum is σ = 4498200. Its totient is φ = 1070080.

The previous prime is 2198909. The next prime is 2198981.

It is a happy number.

2198912 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5039 + ... + 5457.

2^2198912 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 2198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249100).

2198912 is an abundant number, since it is smaller than the sum of its proper divisors (2299288).

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

2198912 is an equidigital number, since it uses as much as digits as its factorization.

2198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its digits is 2592, while the sum is 32.

The square root of 2198912 is about 1482.8728873373. The cubic root of 2198912 is about 130.0377010969.

The spelling of 2198912 in words is "two million, one hundred ninety-eight thousand, nine hundred twelve".