2189681786880 has 1280 divisors, whose sum is σ = 9101559519360. Its totient is φ = 495338913792.

The previous prime is 2189681786869. The next prime is 2189681786909. The reversal of 2189681786880 is 886871869812.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2189681786799 and 2189681786808.

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 79 ways as a sum of consecutive naturals, for example, 22574038992 + ... + 22574039088.

Almost surely, 2^{2189681786880} is an apocalyptic number.

2189681786880 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 2189681786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550779759680).

2189681786880 is an abundant number, since it is smaller than the sum of its proper divisors (6911877732480).

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

2189681786880 is an frugal number, since it uses more digits than its factorization.

2189681786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 72.

The spelling of 2189681786880 in words is "two trillion, one hundred eighty-nine billion, six hundred eighty-one million, seven hundred eighty-six thousand, eight hundred eighty".