2189679298560 has 1728 divisors, whose sum is σ = 8798667171840. Its totient is φ = 521711124480.

The previous prime is 2189679298507. The next prime is 2189679298567. The reversal of 2189679298560 is 658929769812.

2189679298560 is a `hidden beast` number, since 218 + 9 + 6 + 79 + 298 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189679298567) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17241569217 + ... + 17241569343.

It is an arithmetic number, because the mean of its divisors is an integer number (5091821280).

Almost surely, 2^{2189679298560} is an apocalyptic number.

2189679298560 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 2189679298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399333585920).

2189679298560 is an abundant number, since it is smaller than the sum of its proper divisors (6608987873280).

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

2189679298560 is a wasteful number, since it uses less digits than its factorization.

2189679298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 2189679298560 in words is "two trillion, one hundred eighty-nine billion, six hundred seventy-nine million, two hundred ninety-eight thousand, five hundred sixty".