2164086746208 has 216 divisors, whose sum is σ = 6777472102128. Its totient is φ = 653682230784.

The previous prime is 2164086746161. The next prime is 2164086746219. The reversal of 2164086746208 is 8026476804612.

It is a happy number.

2164086746208 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 0 + 8 + 6 + 7 + 4 + 620 + 8 = 666.

It is a super-2 number, since 2×2164086746208² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1938766 + ... + 2843762.

It is an arithmetic number, because the mean of its divisors is an integer number (31377185658).

Almost surely, 2^{2164086746208} 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 2164086746208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388736051064).

2164086746208 is an abundant number, since it is smaller than the sum of its proper divisors (4613385355920).

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

2164086746208 is a wasteful number, since it uses less digits than its factorization.

2164086746208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905074 (or 905044 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2164086746208 in words is "two trillion, one hundred sixty-four billion, eighty-six million, seven hundred forty-six thousand, two hundred eight".