2164806285876 has 384 divisors, whose sum is σ = 6530446540800. Its totient is φ = 614180689920.

The previous prime is 2164806285869. The next prime is 2164806285881. The reversal of 2164806285876 is 6785826084612.

2164806285876 is a `hidden beast` number, since 2 + 1 + 6 + 48 + 0 + 6 + 2 + 8 + 587 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 437951461 + ... + 437956403.

It is an arithmetic number, because the mean of its divisors is an integer number (17006371200).

Almost surely, 2^{2164806285876} is an apocalyptic number.

2164806285876 is a gapful number since it is divisible by the number (26) 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 2164806285876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265223270400).

2164806285876 is an abundant number, since it is smaller than the sum of its proper divisors (4365640254924).

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

2164806285876 is a wasteful number, since it uses less digits than its factorization.

2164806285876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2164806285876 in words is "two trillion, one hundred sixty-four billion, eight hundred six million, two hundred eighty-five thousand, eight hundred seventy-six".