2198400000 has 264 divisors, whose sum is σ = 7355935440. Its totient is φ = 583680000.

The previous prime is 2198399993. The next prime is 2198400011. The reversal of 2198400000 is 48912.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9599886 + ... + 9600114.

Almost surely, 2^2198400000 is an apocalyptic number.

2198400000 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 2198400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677967720).

2198400000 is an abundant number, since it is smaller than the sum of its proper divisors (5157535440).

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

2198400000 is an frugal number, since it uses more digits than its factorization.

2198400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2198400000 is about 46887.0984386963. The cubic root of 2198400000 is about 1300.2760754892.

Adding to 2198400000 its reverse (48912), we get a palindrome (2198448912).

The spelling of 2198400000 in words is "two billion, one hundred ninety-eight million, four hundred thousand".