2164284666180 has 1008 divisors, whose sum is σ = 8572119192000. Its totient is φ = 454749313536.

The previous prime is 2164284666163. The next prime is 2164284666209. The reversal of 2164284666180 is 816664824612.

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

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 335 ways as a sum of consecutive naturals, for example, 4337243571 + ... + 4337244069.

It is an arithmetic number, because the mean of its divisors is an integer number (8504086500).

Almost surely, 2^{2164284666180} is an apocalyptic number.

2164284666180 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 2164284666180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286059596000).

2164284666180 is an abundant number, since it is smaller than the sum of its proper divisors (6407834525820).

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

2164284666180 is a wasteful number, since it uses less digits than its factorization.

2164284666180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2164284666180 in words is "two trillion, one hundred sixty-four billion, two hundred eighty-four million, six hundred sixty-six thousand, one hundred eighty".