2666346165120 has 768 divisors, whose sum is σ = 9540913536000. Its totient is φ = 632761958400.

The previous prime is 2666346165083. The next prime is 2666346165121. The reversal of 2666346165120 is 215616436662.

2666346165120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2666346165120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2666346165120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666346165121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2404279126 + ... + 2404280234.

It is an arithmetic number, because the mean of its divisors is an integer number (12423064500).

Almost surely, 2^{2666346165120} is an apocalyptic number.

2666346165120 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 2666346165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770456768000).

2666346165120 is an abundant number, since it is smaller than the sum of its proper divisors (6874567370880).

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

2666346165120 is a wasteful number, since it uses less digits than its factorization.

2666346165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 2666346165120 in words is "two trillion, six hundred sixty-six billion, three hundred forty-six million, one hundred sixty-five thousand, one hundred twenty".