2198164288320 has 4200 divisors, whose sum is σ = 11342682663840. Its totient is φ = 399435079680.

The previous prime is 2198164288267. The next prime is 2198164288363. The reversal of 2198164288320 is 238824618912.

2198164288320 is a `hidden beast` number, since 2 + 198 + 1 + 6 + 428 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 599 ways as a sum of consecutive naturals, for example, 115692857271 + ... + 115692857289.

Almost surely, 2^{2198164288320} is an apocalyptic number.

2198164288320 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 2198164288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671341331920).

2198164288320 is an abundant number, since it is smaller than the sum of its proper divisors (9144518375520).

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

2198164288320 is a wasteful number, since it uses less digits than its factorization.

2198164288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2198164288320 in words is "two trillion, one hundred ninety-eight billion, one hundred sixty-four million, two hundred eighty-eight thousand, three hundred twenty".