2582006663168 has 192 divisors, whose sum is σ = 5288816332800. Its totient is φ = 1260006359040.

The previous prime is 2582006663149. The next prime is 2582006663191. The reversal of 2582006663168 is 8613666002852.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6162306863 + ... + 6162307281.

It is an arithmetic number, because the mean of its divisors is an integer number (27545918400).

Almost surely, 2^{2582006663168} 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 2582006663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644408166400).

2582006663168 is an abundant number, since it is smaller than the sum of its proper divisors (2706809669632).

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

2582006663168 is a wasteful number, since it uses less digits than its factorization.

2582006663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 2582006663168 in words is "two trillion, five hundred eighty-two billion, six million, six hundred sixty-three thousand, one hundred sixty-eight".