2117744405700 has 576 divisors, whose sum is σ = 7835018526720. Its totient is φ = 428823360000.

The previous prime is 2117744405687. The next prime is 2117744405737. The reversal of 2117744405700 is 75044477112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 475788475 + ... + 475792925.

It is an arithmetic number, because the mean of its divisors is an integer number (13602462720).

Almost surely, 2^{2117744405700} is an apocalyptic number.

2117744405700 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 2117744405700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917509263360).

2117744405700 is an abundant number, since it is smaller than the sum of its proper divisors (5717274121020).

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

2117744405700 is a wasteful number, since it uses less digits than its factorization.

2117744405700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 2117744405700 in words is "two trillion, one hundred seventeen billion, seven hundred forty-four million, four hundred five thousand, seven hundred".