2180571079680 has 2816 divisors, whose sum is σ = 9947783301120. Its totient is φ = 441660211200.

The previous prime is 2180571079679. The next prime is 2180571079693. The reversal of 2180571079680 is 869701750812.

2180571079680 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 571 + 0 + 7 + 9 + 68 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 35747066850 + ... + 35747066910.

Almost surely, 2^{2180571079680} is an apocalyptic number.

2180571079680 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 2180571079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973891650560).

2180571079680 is an abundant number, since it is smaller than the sum of its proper divisors (7767212221440).

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

2180571079680 is a wasteful number, since it uses less digits than its factorization.

2180571079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 2180571079680 in words is "two trillion, one hundred eighty billion, five hundred seventy-one million, seventy-nine thousand, six hundred eighty".