2188481022000 has 2880 divisors, whose sum is σ = 10171796963328. Its totient is φ = 434004480000.

The previous prime is 2188481021981. The next prime is 2188481022029. The reversal of 2188481022000 is 2201848812.

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

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 575 ways as a sum of consecutive naturals, for example, 16705961935 + ... + 16705962065.

Almost surely, 2^{2188481022000} is an apocalyptic number.

2188481022000 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 2188481022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085898481664).

2188481022000 is an abundant number, since it is smaller than the sum of its proper divisors (7983315941328).

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

2188481022000 is a wasteful number, since it uses less digits than its factorization.

2188481022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

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

The spelling of 2188481022000 in words is "two trillion, one hundred eighty-eight billion, four hundred eighty-one million, twenty-two thousand".