2179889745600 has 672 divisors, whose sum is σ = 8360346617856. Its totient is φ = 486947635200.

The previous prime is 2179889745599. The next prime is 2179889745641. The reversal of 2179889745600 is 65479889712.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482594542 + ... + 482599058.

Almost surely, 2^{2179889745600} is an apocalyptic number.

2179889745600 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 2179889745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180173308928).

2179889745600 is an abundant number, since it is smaller than the sum of its proper divisors (6180456872256).

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

2179889745600 is a wasteful number, since it uses less digits than its factorization.

2179889745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 2179889745600 in words is "two trillion, one hundred seventy-nine billion, eight hundred eighty-nine million, seven hundred forty-five thousand, six hundred".