2198219820 has 192 divisors, whose sum is σ = 6643553280. Its totient is φ = 541458432.

The previous prime is 2198219819. The next prime is 2198219843. The reversal of 2198219820 is 289128912.

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 63 ways as a sum of consecutive naturals, for example, 11389644 + ... + 11389836.

It is an arithmetic number, because the mean of its divisors is an integer number (34601840).

Almost surely, 2^2198219820 is an apocalyptic number.

2198219820 is a gapful number since it is divisible by the number (20) 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 2198219820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321776640).

2198219820 is an abundant number, since it is smaller than the sum of its proper divisors (4445333460).

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

2198219820 is a wasteful number, since it uses less digits than its factorization.

2198219820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 2198219820 is about 46885.1769752445. The cubic root of 2198219820 is about 1300.2405511466.

The spelling of 2198219820 in words is "two billion, one hundred ninety-eight million, two hundred nineteen thousand, eight hundred twenty".