2582006663167 has 16 divisors (see below), whose sum is σ = 2677580928000. Its totient is φ = 2486870324064.

The previous prime is 2582006663149. The next prime is 2582006663191. The reversal of 2582006663167 is 7613666002852.

It is a cyclic number.

It is not a de Polignac number, because 2582006663167 - 2⁷ = 2582006663039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582006667167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95761834 + ... + 95788792.

It is an arithmetic number, because the mean of its divisors is an integer number (167348808000).

Almost surely, 2^{2582006663167} is an apocalyptic number.

2582006663167 is a deficient number, since it is larger than the sum of its proper divisors (95574264833).

2582006663167 is a wasteful number, since it uses less digits than its factorization.

2582006663167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34950.

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 2582006663167 in words is "two trillion, five hundred eighty-two billion, six million, six hundred sixty-three thousand, one hundred sixty-seven".