2105084191728 has 320 divisors, whose sum is σ = 6522810291200. Its totient is φ = 584338406400.

The previous prime is 2105084191681. The next prime is 2105084191753. The reversal of 2105084191728 is 8271914805012.

It is a happy number.

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

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, 494033118 + ... + 494037378.

It is an arithmetic number, because the mean of its divisors is an integer number (20383782160).

Almost surely, 2^{2105084191728} is an apocalyptic number.

2105084191728 is a gapful number since it is divisible by the number (28) 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 2105084191728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261405145600).

2105084191728 is an abundant number, since it is smaller than the sum of its proper divisors (4417726099472).

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

2105084191728 is a wasteful number, since it uses less digits than its factorization.

2105084191728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 2105084191728 in words is "two trillion, one hundred five billion, eighty-four million, one hundred ninety-one thousand, seven hundred twenty-eight".