2188413884160 has 1080 divisors, whose sum is σ = 9645205656240. Its totient is φ = 470766256128.

The previous prime is 2188413884123. The next prime is 2188413884171. The reversal of 2188413884160 is 614883148812.

2188413884160 is a `hidden beast` number, since 2 + 18 + 84 + 138 + 8 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 2188413884097 and 2188413884106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86352771 + ... + 86378109.

It is an arithmetic number, because the mean of its divisors is an integer number (8930745978).

Almost surely, 2^{2188413884160} is an apocalyptic number.

2188413884160 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 2188413884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822602828120).

2188413884160 is an abundant number, since it is smaller than the sum of its proper divisors (7456791772080).

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

2188413884160 is a wasteful number, since it uses less digits than its factorization.

2188413884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25403 (or 25373 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 2188413884160 in words is "two trillion, one hundred eighty-eight billion, four hundred thirteen million, eight hundred eighty-four thousand, one hundred sixty".