1998642300 has 288 divisors, whose sum is σ = 6412089600. Its totient is φ = 478679040.

The previous prime is 1998642299. The next prime is 1998642301. The reversal of 1998642300 is 32468991.

It is an interprime number because it is at equal distance from previous prime (1998642299) and next prime (1998642301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998642301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17687044 + ... + 17687156.

It is an arithmetic number, because the mean of its divisors is an integer number (22264200).

Almost surely, 2^1998642300 is an apocalyptic number.

1998642300 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 1998642300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206044800).

1998642300 is an abundant number, since it is smaller than the sum of its proper divisors (4413447300).

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

1998642300 is a wasteful number, since it uses less digits than its factorization.

1998642300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1998642300 is about 44706.1774254968. The cubic root of 1998642300 is about 1259.6358862224.

The spelling of 1998642300 in words is "one billion, nine hundred ninety-eight million, six hundred forty-two thousand, three hundred".