2019198400 has 168 divisors, whose sum is σ = 5281249280. Its totient is φ = 757693440.

The previous prime is 2019198397. The next prime is 2019198421. The reversal of 2019198400 is 48919102.

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, 3860539 + ... + 3861061.

Almost surely, 2^2019198400 is an apocalyptic number.

2019198400 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 2019198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640624640).

2019198400 is an abundant number, since it is smaller than the sum of its proper divisors (3262050880).

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

2019198400 is a wasteful number, since it uses less digits than its factorization.

2019198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 2019198400 is about 44935.4915406519. The cubic root of 2019198400 is about 1263.9396301884.

The spelling of 2019198400 in words is "two billion, nineteen million, one hundred ninety-eight thousand, four hundred".