2118384000 has 384 divisors, whose sum is σ = 7794334080. Its totient is φ = 551116800.

The previous prime is 2118383989. The next prime is 2118384013. The reversal of 2118384000 is 4838112.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6767844 + ... + 6768156.

It is an arithmetic number, because the mean of its divisors is an integer number (20297745).

Almost surely, 2^2118384000 is an apocalyptic number.

2118384000 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 2118384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897167040).

2118384000 is an abundant number, since it is smaller than the sum of its proper divisors (5675950080).

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

2118384000 is a wasteful number, since it uses less digits than its factorization.

2118384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2118384000 is about 46025.9057488280. The cubic root of 2118384000 is about 1284.3051651873.

The spelling of 2118384000 in words is "two billion, one hundred eighteen million, three hundred eighty-four thousand".