2164842628536 has 256 divisors, whose sum is σ = 6325296721920. Its totient is φ = 604682496000.

The previous prime is 2164842628447. The next prime is 2164842628583. The reversal of 2164842628536 is 6358262484612.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 897901171 + ... + 897903581.

It is an arithmetic number, because the mean of its divisors is an integer number (24708190320).

Almost surely, 2^{2164842628536} 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 2164842628536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162648360960).

2164842628536 is an abundant number, since it is smaller than the sum of its proper divisors (4160454093384).

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

2164842628536 is a wasteful number, since it uses less digits than its factorization.

2164842628536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3062 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 57.

The spelling of 2164842628536 in words is "two trillion, one hundred sixty-four billion, eight hundred forty-two million, six hundred twenty-eight thousand, five hundred thirty-six".