2198907168 has 96 divisors (see below), whose sum is σ = 5988096576. Its totient is φ = 706019328.

The previous prime is 2198907127. The next prime is 2198907169. The reversal of 2198907168 is 8617098912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2198907168.

It is not an unprimeable number, because it can be changed into a prime (2198907169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297696 + ... + 304992.

It is an arithmetic number, because the mean of its divisors is an integer number (62376006).

Almost surely, 2^2198907168 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 2198907168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994048288).

2198907168 is an abundant number, since it is smaller than the sum of its proper divisors (3789189408).

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

2198907168 is a wasteful number, since it uses less digits than its factorization.

2198907168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The square root of 2198907168 is about 46892.5065228977. The cubic root of 2198907168 is about 1300.3760584633.

The spelling of 2198907168 in words is "two billion, one hundred ninety-eight million, nine hundred seven thousand, one hundred sixty-eight".