2082884083567 has 32 divisors (see below), whose sum is σ = 2563054987392. Its totient is φ = 1652061671424.

The previous prime is 2082884083561. The next prime is 2082884083571. The reversal of 2082884083567 is 7653804882802.

It is a cyclic number.

It is not a de Polignac number, because 2082884083567 - 2⁷ = 2082884083439 is a prime.

It is a super-2 number, since 2×2082884083567² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082884083561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2375593 + ... + 3131965.

It is an arithmetic number, because the mean of its divisors is an integer number (80095468356).

Almost surely, 2^{2082884083567} is an apocalyptic number.

2082884083567 is a deficient number, since it is larger than the sum of its proper divisors (480170903825).

2082884083567 is a wasteful number, since it uses less digits than its factorization.

2082884083567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756787.

The product of its (nonzero) digits is 41287680, while the sum is 61.

The spelling of 2082884083567 in words is "two trillion, eighty-two billion, eight hundred eighty-four million, eighty-three thousand, five hundred sixty-seven".