2102543982168 has 128 divisors (see below), whose sum is σ = 6136435998720. Its totient is φ = 587815747200.

The previous prime is 2102543982163. The next prime is 2102543982211. The reversal of 2102543982168 is 8612893452012.

It is a super-2 number, since 2×2102543982168² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102543982168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102543982163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39066205 + ... + 39119987.

It is an arithmetic number, because the mean of its divisors is an integer number (47940906240).

Almost surely, 2^{2102543982168} is an apocalyptic number.

2102543982168 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 2102543982168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068217999360).

2102543982168 is an abundant number, since it is smaller than the sum of its proper divisors (4033892016552).

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

2102543982168 is a wasteful number, since it uses less digits than its factorization.

2102543982168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58797 (or 58793 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 2102543982168 in words is "two trillion, one hundred two billion, five hundred forty-three million, nine hundred eighty-two thousand, one hundred sixty-eight".