2166342264576 has 1728 divisors, whose sum is σ = 8155038044160. Its totient is φ = 564072284160.

The previous prime is 2166342264557. The next prime is 2166342264577. The reversal of 2166342264576 is 6754622436612.

2166342264576 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 3 + 4 + 2 + 2 + 64 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

Its product of digits (17418240) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166342264577) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22333425360 + ... + 22333425456.

It is an arithmetic number, because the mean of its divisors is an integer number (4719350720).

Almost surely, 2^{2166342264576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166342264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077519022080).

2166342264576 is an abundant number, since it is smaller than the sum of its proper divisors (5988695779584).

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

2166342264576 is a wasteful number, since it uses less digits than its factorization.

2166342264576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 2166342264576 in words is "two trillion, one hundred sixty-six billion, three hundred forty-two million, two hundred sixty-four thousand, five hundred seventy-six".