2166220800000 has 720 divisors, whose sum is σ = 8027401213440. Its totient is φ = 577290240000.

The previous prime is 2166220799957. The next prime is 2166220800047. The reversal of 2166220800000 is 80226612.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1382399217 + ... + 1382400783.

It is an arithmetic number, because the mean of its divisors is an integer number (11149168352).

Almost surely, 2^{2166220800000} is an apocalyptic number.

2166220800000 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 2166220800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013700606720).

2166220800000 is an abundant number, since it is smaller than the sum of its proper divisors (5861180413440).

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

2166220800000 is an frugal number, since it uses more digits than its factorization.

2166220800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 2166220800000 in words is "two trillion, one hundred sixty-six billion, two hundred twenty million, eight hundred thousand".