2188108080000 has 1120 divisors, whose sum is σ = 8651331437760. Its totient is φ = 548923392000.

The previous prime is 2188108079863. The next prime is 2188108080061. The reversal of 2188108080000 is 808018812.

It is a happy number.

It is a super-2 number, since 2×2188108080000² (a number of 25 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 991438897 + ... + 991441103.

Almost surely, 2^{2188108080000} is an apocalyptic number.

2188108080000 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 2188108080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325665718880).

2188108080000 is an abundant number, since it is smaller than the sum of its proper divisors (6463223357760).

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

2188108080000 is an frugal number, since it uses more digits than its factorization.

2188108080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 2188108080000 in words is "two trillion, one hundred eighty-eight billion, one hundred eight million, eighty thousand".