2198448912 has 80 divisors (see below), whose sum is σ = 6205317120. Its totient is φ = 665155200.

The previous prime is 2198448887. The next prime is 2198448953.

2198448912 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 376737 + ... + 382527.

It is an arithmetic number, because the mean of its divisors is an integer number (77566464).

Almost surely, 2^2198448912 is an apocalyptic number.

2198448912 is a gapful number since it is divisible by the number (22) 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 2198448912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102658560).

2198448912 is an abundant number, since it is smaller than the sum of its proper divisors (4006868208).

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

2198448912 is a wasteful number, since it uses less digits than its factorization.

2198448912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532 (or 6526 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 2198448912 is about 46887.6200291719. The cubic root of 2198448912 is about 1300.2857186587.

The spelling of 2198448912 in words is "two billion, one hundred ninety-eight million, four hundred forty-eight thousand, nine hundred twelve".