2198218014720 has 816 divisors, whose sum is σ = 9380137009152. Its totient is φ = 463743221760.

The previous prime is 2198218014701. The next prime is 2198218014743. The reversal of 2198218014720 is 274108128912.

2198218014720 is a `hidden beast` number, since 21 + 9 + 82 + 1 + 80 + 1 + 472 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268365825 + ... + 268374015.

Almost surely, 2^{2198218014720} is an apocalyptic number.

2198218014720 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 2198218014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690068504576).

2198218014720 is an abundant number, since it is smaller than the sum of its proper divisors (7181918994432).

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

2198218014720 is an equidigital number, since it uses as much as digits as its factorization.

2198218014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 2198218014720 in words is "two trillion, one hundred ninety-eight billion, two hundred eighteen million, fourteen thousand, seven hundred twenty".