2105555169984 has 224 divisors, whose sum is σ = 6385320646656. Its totient is φ = 599839948800.

The previous prime is 2105555169959. The next prime is 2105555170001. The reversal of 2105555169984 is 4899615555012.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2105555169984² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201114452 + ... + 1201116204.

It is an arithmetic number, because the mean of its divisors is an integer number (28505895744).

Almost surely, 2^{2105555169984} is an apocalyptic number.

2105555169984 is a gapful number since it is divisible by the number (24) 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 2105555169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192660323328).

2105555169984 is an abundant number, since it is smaller than the sum of its proper divisors (4279765476672).

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

2105555169984 is a wasteful number, since it uses less digits than its factorization.

2105555169984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 60.

The spelling of 2105555169984 in words is "two trillion, one hundred five billion, five hundred fifty-five million, one hundred sixty-nine thousand, nine hundred eighty-four".