2198367216 has 200 divisors, whose sum is σ = 6533581824. Its totient is φ = 713439360.

The previous prime is 2198367211. The next prime is 2198367221. The reversal of 2198367216 is 6127638912.

It is an interprime number because it is at equal distance from previous prime (2198367211) and next prime (2198367221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198367211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11509681 + ... + 11509871.

Almost surely, 2^2198367216 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 2198367216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266790912).

2198367216 is an abundant number, since it is smaller than the sum of its proper divisors (4335214608).

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

2198367216 is a wasteful number, since it uses less digits than its factorization.

2198367216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2198367216 is about 46886.7488316262. The cubic root of 2198367216 is about 1300.2696119304.

The spelling of 2198367216 in words is "two billion, one hundred ninety-eight million, three hundred sixty-seven thousand, two hundred sixteen".