2661718968000 has 2016 divisors, whose sum is σ = 11089887456960. Its totient is φ = 628848230400.

The previous prime is 2661718967911. The next prime is 2661718968047. The reversal of 2661718968000 is 8698171662.

2661718968000 is a `hidden beast` number, since 2 + 6 + 617 + 18 + 9 + 6 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2661718968000² (a number of 26 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16953623922 + ... + 16953624078.

Almost surely, 2^{2661718968000} is an apocalyptic number.

2661718968000 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 2661718968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544943728480).

2661718968000 is an abundant number, since it is smaller than the sum of its proper divisors (8428168488960).

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

2661718968000 is an equidigital number, since it uses as much as digits as its factorization.

2661718968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2661718968000 in words is "two trillion, six hundred sixty-one billion, seven hundred eighteen million, nine hundred sixty-eight thousand".