2198541200 has 30 divisors (see below), whose sum is σ = 5281996194. Its totient is φ = 879416320.

The previous prime is 2198541197. The next prime is 2198541209. The reversal of 2198541200 is 21458912.

It can be written as a sum of positive squares in 3 ways, for example, as 33686416 + 2164854784 = 5804^2 + 46528^2 .

It is not an unprimeable number, because it can be changed into a prime (2198541209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2747777 + ... + 2748576.

Almost surely, 2^2198541200 is an apocalyptic number.

2198541200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2198541200 is an abundant number, since it is smaller than the sum of its proper divisors (3083454994).

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

2198541200 is a wasteful number, since it uses less digits than its factorization.

2198541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496371 (or 5496360 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 2198541200 is about 46888.6041592198. The cubic root of 2198541200 is about 1300.3039131667.

The spelling of 2198541200 in words is "two billion, one hundred ninety-eight million, five hundred forty-one thousand, two hundred".