2221817566800 has 240 divisors, whose sum is σ = 7790355079808. Its totient is φ = 537942988800.

The previous prime is 2221817566783. The next prime is 2221817566811. The reversal of 2221817566800 is 86657181222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2221817566800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215812 + ... + 2119011.

Almost surely, 2^{2221817566800} is an apocalyptic number.

2221817566800 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 2221817566800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895177539904).

2221817566800 is an abundant number, since it is smaller than the sum of its proper divisors (5568537513008).

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

2221817566800 is a wasteful number, since it uses less digits than its factorization.

2221817566800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334918 (or 2334907 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 2221817566800 in words is "two trillion, two hundred twenty-one billion, eight hundred seventeen million, five hundred sixty-six thousand, eight hundred".