2641975868320 has 96 divisors (see below), whose sum is σ = 6290931588480. Its totient is φ = 1048453585920.

The previous prime is 2641975868297. The next prime is 2641975868407. The reversal of 2641975868320 is 238685791462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94704294 + ... + 94732186.

It is an arithmetic number, because the mean of its divisors is an integer number (65530537380).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2641975868320 = 5283951736640, but 3⋅2641975868320 = 7925927604960 is not.

Almost surely, 2^{2641975868320} is an apocalyptic number.

2641975868320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2641975868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145465794240).

2641975868320 is an abundant number, since it is smaller than the sum of its proper divisors (3648955720160).

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

2641975868320 is a wasteful number, since it uses less digits than its factorization.

2641975868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32558 (or 32550 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 2641975868320 in words is "two trillion, six hundred forty-one billion, nine hundred seventy-five million, eight hundred sixty-eight thousand, three hundred twenty".