1998259200 has 792 divisors, whose sum is σ = 8680917600. Its totient is φ = 449003520.

The previous prime is 1998259147. The next prime is 1998259201. The reversal of 1998259200 is 29528991.

1998259200 is a `hidden beast` number, since 199 + 8 + 259 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1998259201) 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 71 ways as a sum of consecutive naturals, for example, 33868771 + ... + 33868829.

Almost surely, 2^1998259200 is an apocalyptic number.

1998259200 is a gapful number since it is divisible by the number (10) 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 1998259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340458800).

1998259200 is an abundant number, since it is smaller than the sum of its proper divisors (6682658400).

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

1998259200 is a wasteful number, since it uses less digits than its factorization.

1998259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1998259200 is about 44701.8925773842. The cubic root of 1998259200 is about 1259.5553986928. Note that the first 3 decimals are identical.

The spelling of 1998259200 in words is "one billion, nine hundred ninety-eight million, two hundred fifty-nine thousand, two hundred".