2117517293440 has 512 divisors, whose sum is σ = 5586407481600. Its totient is φ = 765176315904.

The previous prime is 2117517293389. The next prime is 2117517293453. The reversal of 2117517293440 is 443927157112.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 3146384944 + ... + 3146385616.

Almost surely, 2^{2117517293440} is an apocalyptic number.

2117517293440 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 2117517293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793203740800).

2117517293440 is an abundant number, since it is smaller than the sum of its proper divisors (3468890188160).

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

2117517293440 is a wasteful number, since it uses less digits than its factorization.

2117517293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 2117517293440 in words is "two trillion, one hundred seventeen billion, five hundred seventeen million, two hundred ninety-three thousand, four hundred forty".