2117865544080 has 640 divisors, whose sum is σ = 7912398574080. Its totient is φ = 461832192000.

The previous prime is 2117865544013. The next prime is 2117865544133. The reversal of 2117865544080 is 804455687112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228189040 + ... + 228198320.

It is an arithmetic number, because the mean of its divisors is an integer number (12363122772).

Almost surely, 2^{2117865544080} is an apocalyptic number.

2117865544080 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 2117865544080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956199287040).

2117865544080 is an abundant number, since it is smaller than the sum of its proper divisors (5794533030000).

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

2117865544080 is a wasteful number, since it uses less digits than its factorization.

2117865544080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9491 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 2117865544080 in words is "two trillion, one hundred seventeen billion, eight hundred sixty-five million, five hundred forty-four thousand, eighty".