2198818400 has 144 divisors (see below), whose sum is σ = 5681448864. Its totient is φ = 829255680.

The previous prime is 2198818399. The next prime is 2198818417. The reversal of 2198818400 is 48188912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342382 + ... + 1344018.

It is an arithmetic number, because the mean of its divisors is an integer number (39454506).

Almost surely, 2^2198818400 is an apocalyptic number.

2198818400 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 2198818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840724432).

2198818400 is an abundant number, since it is smaller than the sum of its proper divisors (3482630464).

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

2198818400 is a wasteful number, since it uses less digits than its factorization.

2198818400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 41.

The square root of 2198818400 is about 46891.5600081720. The cubic root of 2198818400 is about 1300.3585598717.

The spelling of 2198818400 in words is "two billion, one hundred ninety-eight million, eight hundred eighteen thousand, four hundred".