2018304000 has 448 divisors, whose sum is σ = 7565014080. Its totient is φ = 530841600.

The previous prime is 2018303999. The next prime is 2018304023. The reversal of 2018304000 is 4038102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27647964 + ... + 27648036.

Almost surely, 2^2018304000 is an apocalyptic number.

2018304000 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 2018304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782507040).

2018304000 is an abundant number, since it is smaller than the sum of its proper divisors (5546710080).

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

2018304000 is an frugal number, since it uses more digits than its factorization.

2018304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2018304000 is about 44925.5383941027. The cubic root of 2018304000 is about 1263.7529827611.

The spelling of 2018304000 in words is "two billion, eighteen million, three hundred four thousand".