2179882782720 has 624 divisors, whose sum is σ = 7899845990400. Its totient is φ = 576557678592.

The previous prime is 2179882782683. The next prime is 2179882782743. The reversal of 2179882782720 is 272872889712.

2179882782720 is a `hidden beast` number, since 2 + 1 + 7 + 98 + 8 + 278 + 272 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 632031556 + ... + 632035004.

It is an arithmetic number, because the mean of its divisors is an integer number (12660009600).

Almost surely, 2^{2179882782720} is an apocalyptic number.

2179882782720 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 2179882782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949922995200).

2179882782720 is an abundant number, since it is smaller than the sum of its proper divisors (5719963207680).

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

2179882782720 is an equidigital number, since it uses as much as digits as its factorization.

2179882782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 2179882782720 in words is "two trillion, one hundred seventy-nine billion, eight hundred eighty-two million, seven hundred eighty-two thousand, seven hundred twenty".