2870057642166 has 576 divisors, whose sum is σ = 7823186122752. Its totient is φ = 755445398400.

The previous prime is 2870057642161. The next prime is 2870057642173. The reversal of 2870057642166 is 6612467500782.

It is a happy number.

2870057642166 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 0 + 576 + 4 + 2 + 1 + 66 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870057642161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12870213531 + ... + 12870213753.

It is an arithmetic number, because the mean of its divisors is an integer number (13581920352).

Almost surely, 2^{2870057642166} is an apocalyptic number.

2870057642166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2870057642166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911593061376).

2870057642166 is an abundant number, since it is smaller than the sum of its proper divisors (4953128480586).

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

2870057642166 is a wasteful number, since it uses less digits than its factorization.

2870057642166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2870057642166 in words is "two trillion, eight hundred seventy billion, fifty-seven million, six hundred forty-two thousand, one hundred sixty-six".