2666091171744 has 2688 divisors, whose sum is σ = 11372113428480. Its totient is φ = 592568524800.

The previous prime is 2666091171743. The next prime is 2666091171749. The reversal of 2666091171744 is 4471711906662.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2666091171743) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 20992843809 + ... + 20992843935.

It is an arithmetic number, because the mean of its divisors is an integer number (4230696960).

Almost surely, 2^{2666091171744} is an apocalyptic number.

2666091171744 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 2666091171744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686056714240).

2666091171744 is an abundant number, since it is smaller than the sum of its proper divisors (8706022256736).

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

2666091171744 is a wasteful number, since it uses less digits than its factorization.

2666091171744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2666091171744 in words is "two trillion, six hundred sixty-six billion, ninety-one million, one hundred seventy-one thousand, seven hundred forty-four".