2182706164080 has 800 divisors, whose sum is σ = 8669881592064. Its totient is φ = 504177426432.

The previous prime is 2182706164061. The next prime is 2182706164117. The reversal of 2182706164080 is 804616072812.

2182706164080 is a `hidden beast` number, since 2 + 1 + 8 + 27 + 0 + 616 + 4 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 525571284 + ... + 525575436.

Almost surely, 2^{2182706164080} is an apocalyptic number.

2182706164080 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 2182706164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334940796032).

2182706164080 is an abundant number, since it is smaller than the sum of its proper divisors (6487175427984).

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

2182706164080 is a wasteful number, since it uses less digits than its factorization.

2182706164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2182706164080 in words is "two trillion, one hundred eighty-two billion, seven hundred six million, one hundred sixty-four thousand, eighty".