2199928027680 has 672 divisors, whose sum is σ = 8350840520064. Its totient is φ = 545445715968.

The previous prime is 2199928027643. The next prime is 2199928027757. The reversal of 2199928027680 is 867208299912.

It is a happy number.

2199928027680 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 9 + 280 + 276 + 80 = 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 111 ways as a sum of consecutive naturals, for example, 164572357 + ... + 164585723.

It is an arithmetic number, because the mean of its divisors is an integer number (12426846012).

Almost surely, 2^{2199928027680} is an apocalyptic number.

2199928027680 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 2199928027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175420260032).

2199928027680 is an abundant number, since it is smaller than the sum of its proper divisors (6150912492384).

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

2199928027680 is a wasteful number, since it uses less digits than its factorization.

2199928027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13500 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 2199928027680 in words is "two trillion, one hundred ninety-nine billion, nine hundred twenty-eight million, twenty-seven thousand, six hundred eighty".