2117704617600 has 768 divisors, whose sum is σ = 8310428098560. Its totient is φ = 467195904000.

The previous prime is 2117704617563. The next prime is 2117704617629. The reversal of 2117704617600 is 67164077112.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97457937 + ... + 97479663.

It is an arithmetic number, because the mean of its divisors is an integer number (10820869920).

Almost surely, 2^{2117704617600} is an apocalyptic number.

2117704617600 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 2117704617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155214049280).

2117704617600 is an abundant number, since it is smaller than the sum of its proper divisors (6192723480960).

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

2117704617600 is a wasteful number, since it uses less digits than its factorization.

2117704617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21849 (or 21832 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 2117704617600 in words is "two trillion, one hundred seventeen billion, seven hundred four million, six hundred seventeen thousand, six hundred".