2118484800000 has 1920 divisors, whose sum is σ = 8631010080000. Its totient is φ = 510935040000.

The previous prime is 2118484799987. The next prime is 2118484800049. The reversal of 2118484800000 is 84848112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23803199956 + ... + 23803200044.

It is an arithmetic number, because the mean of its divisors is an integer number (4495317750).

Almost surely, 2^{2118484800000} is an apocalyptic number.

2118484800000 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 2118484800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315505040000).

2118484800000 is an abundant number, since it is smaller than the sum of its proper divisors (6512525280000).

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

2118484800000 is an frugal number, since it uses more digits than its factorization.

2118484800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 2118484800000 in words is "two trillion, one hundred eighteen billion, four hundred eighty-four million, eight hundred thousand".