2185705417338 has 80 divisors (see below), whose sum is σ = 5067925822080. Its totient is φ = 703244947104.

The previous prime is 2185705417327. The next prime is 2185705417381. The reversal of 2185705417338 is 8337145075812.

2185705417338 is a `hidden beast` number, since 2 + 1 + 8 + 570 + 54 + 17 + 3 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16881195 + ... + 17010177.

It is an arithmetic number, because the mean of its divisors is an integer number (63349072776).

Almost surely, 2^{2185705417338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185705417338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533962911040).

2185705417338 is an abundant number, since it is smaller than the sum of its proper divisors (2882220404742).

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

2185705417338 is a wasteful number, since it uses less digits than its factorization.

2185705417338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132633 (or 132624 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2185705417338 in words is "two trillion, one hundred eighty-five billion, seven hundred five million, four hundred seventeen thousand, three hundred thirty-eight".