2191867340544 has 1008 divisors, whose sum is σ = 7946218425600. Its totient is φ = 589182418944.

The previous prime is 2191867340519. The next prime is 2191867340717. The reversal of 2191867340544 is 4450437681912.

2191867340544 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 8 + 67 + 34 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5783290947 + ... + 5783291325.

It is an arithmetic number, because the mean of its divisors is an integer number (7883153200).

It is a 1-persistent number, because it is pandigital, but 2⋅2191867340544 = 4383734681088 is not.

Almost surely, 2^{2191867340544} is an apocalyptic number.

2191867340544 is a gapful number since it is divisible by the number (24) 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 2191867340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973109212800).

2191867340544 is an abundant number, since it is smaller than the sum of its proper divisors (5754351085056).

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

2191867340544 is an equidigital number, since it uses as much as digits as its factorization.

2191867340544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2191867340544 in words is "two trillion, one hundred ninety-one billion, eight hundred sixty-seven million, three hundred forty thousand, five hundred forty-four".