2117417809920 has 768 divisors, whose sum is σ = 8038215843840. Its totient is φ = 465636556800.

The previous prime is 2117417809853. The next prime is 2117417809979. The reversal of 2117417809920 is 299087147112.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1273251009 + ... + 1273252671.

It is an arithmetic number, because the mean of its divisors is an integer number (10466426880).

Almost surely, 2^{2117417809920} is an apocalyptic number.

2117417809920 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 2117417809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019107921920).

2117417809920 is an abundant number, since it is smaller than the sum of its proper divisors (5920798033920).

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

2117417809920 is a wasteful number, since it uses less digits than its factorization.

2117417809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The spelling of 2117417809920 in words is "two trillion, one hundred seventeen billion, four hundred seventeen million, eight hundred nine thousand, nine hundred twenty".