2218016908800 has 2700 divisors, whose sum is σ = 10489889520396. Its totient is φ = 460886630400.

The previous prime is 2218016908799. The next prime is 2218016908847. The reversal of 2218016908800 is 88096108122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 201637900795 + ... + 201637900805.

Almost surely, 2^{2218016908800} is an apocalyptic number.

2218016908800 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 2218016908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244944760198).

2218016908800 is an abundant number, since it is smaller than the sum of its proper divisors (8271872611596).

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

2218016908800 is an frugal number, since it uses more digits than its factorization.

2218016908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 2218016908800 in words is "two trillion, two hundred eighteen billion, sixteen million, nine hundred eight thousand, eight hundred".