2191680691200 has 4752 divisors, whose sum is σ = 11478110282496. Its totient is φ = 386452684800.

The previous prime is 2191680691153. The next prime is 2191680691201. The reversal of 2191680691200 is 21960861912.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191680691201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 50969318379 + ... + 50969318421.

It is an arithmetic number, because the mean of its divisors is an integer number (2415427248).

Almost surely, 2^{2191680691200} is an apocalyptic number.

2191680691200 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 2191680691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739055141248).

2191680691200 is an abundant number, since it is smaller than the sum of its proper divisors (9286429591296).

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

2191680691200 is a wasteful number, since it uses less digits than its factorization.

2191680691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 2191680691200 in words is "two trillion, one hundred ninety-one billion, six hundred eighty million, six hundred ninety-one thousand, two hundred".