2829418682166 has 96 divisors (see below), whose sum is σ = 6400132596000. Its totient is φ = 902247220224.

The previous prime is 2829418682159. The next prime is 2829418682177. The reversal of 2829418682166 is 6612868149282.

2829418682166 is a `hidden beast` number, since 2 + 8 + 294 + 186 + 8 + 2 + 166 = 666.

It is a super-2 number, since 2×2829418682166² (a number of 26 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 47 ways as a sum of consecutive naturals, for example, 220542240 + ... + 220555068.

It is an arithmetic number, because the mean of its divisors is an integer number (66668047875).

Almost surely, 2^{2829418682166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829418682166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200066298000).

2829418682166 is an abundant number, since it is smaller than the sum of its proper divisors (3570713913834).

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

2829418682166 is a wasteful number, since it uses less digits than its factorization.

2829418682166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16718 (or 16715 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 2829418682166 in words is "two trillion, eight hundred twenty-nine billion, four hundred eighteen million, six hundred eighty-two thousand, one hundred sixty-six".