2891102064640 has 208 divisors, whose sum is σ = 7320237724800. Its totient is φ = 1092981620736.

The previous prime is 2891102064563. The next prime is 2891102064649. The reversal of 2891102064640 is 464602011982.

It is a super-2 number, since 2×2891102064640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2891102064649) 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, 168480381 + ... + 168497539.

It is an arithmetic number, because the mean of its divisors is an integer number (35193450600).

Almost surely, 2^{2891102064640} is an apocalyptic number.

2891102064640 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 2891102064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660118862400).

2891102064640 is an abundant number, since it is smaller than the sum of its proper divisors (4429135660160).

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

2891102064640 is a wasteful number, since it uses less digits than its factorization.

2891102064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17640 (or 17618 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 2891102064640 in words is "two trillion, eight hundred ninety-one billion, one hundred two million, sixty-four thousand, six hundred forty".