2198808720 has 160 divisors (see below), whose sum is σ = 7591597440. Its totient is φ = 584962560.

The previous prime is 2198808719. The next prime is 2198808749. The reversal of 2198808720 is 278088912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 1180590 + ... + 1182450.

It is an arithmetic number, because the mean of its divisors is an integer number (47447484).

Almost surely, 2^2198808720 is an apocalyptic number.

2198808720 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 2198808720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795798720).

2198808720 is an abundant number, since it is smaller than the sum of its proper divisors (5392788720).

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

2198808720 is a wasteful number, since it uses less digits than its factorization.

2198808720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 2198808720 is about 46891.4567911896. The cubic root of 2198808720 is about 1300.3566516515.

The spelling of 2198808720 in words is "two billion, one hundred ninety-eight million, eight hundred eight thousand, seven hundred twenty".