2166517652424 has 64 divisors (see below), whose sum is σ = 5626507104000. Its totient is φ = 694352547840.

The previous prime is 2166517652407. The next prime is 2166517652437. The reversal of 2166517652424 is 4242567156612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6345817 + ... + 6678504.

It is an arithmetic number, because the mean of its divisors is an integer number (87914173500).

Almost surely, 2^{2166517652424} is an apocalyptic number.

2166517652424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2166517652424 is an abundant number, since it is smaller than the sum of its proper divisors (3459989451576).

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

2166517652424 is a wasteful number, since it uses less digits than its factorization.

2166517652424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024598 (or 13024594 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The spelling of 2166517652424 in words is "two trillion, one hundred sixty-six billion, five hundred seventeen million, six hundred fifty-two thousand, four hundred twenty-four".