2117196782400 has 3024 divisors, whose sum is σ = 9626607518400. Its totient is φ = 403174195200.

The previous prime is 2117196782387. The next prime is 2117196782413. The reversal of 2117196782400 is 42876917112.

It is an interprime number because it is at equal distance from previous prime (2117196782387) and next prime (2117196782413).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2117196782400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 68296670385 + ... + 68296670415.

Almost surely, 2^{2117196782400} is an apocalyptic number.

2117196782400 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 2117196782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813303759200).

2117196782400 is an abundant number, since it is smaller than the sum of its proper divisors (7509410736000).

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

2117196782400 is a wasteful number, since it uses less digits than its factorization.

2117196782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 2117196782400 in words is "two trillion, one hundred seventeen billion, one hundred ninety-six million, seven hundred eighty-two thousand, four hundred".