2106201053880 has 2304 divisors, whose sum is σ = 9708501196800. Its totient is φ = 397069516800.

The previous prime is 2106201053867. The next prime is 2106201053899. The reversal of 2106201053880 is 883501026012.

It is a happy number.

2106201053880 is a `hidden beast` number, since 2 + 10 + 6 + 20 + 10 + 538 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8195334712 + ... + 8195334968.

It is an arithmetic number, because the mean of its divisors is an integer number (4213759200).

Almost surely, 2^{2106201053880} is an apocalyptic number.

2106201053880 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 2106201053880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854250598400).

2106201053880 is an abundant number, since it is smaller than the sum of its proper divisors (7602300142920).

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

2106201053880 is a wasteful number, since it uses less digits than its factorization.

2106201053880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 2106201053880 its reverse (883501026012), we get a palindrome (2989702079892).

The spelling of 2106201053880 in words is "two trillion, one hundred six billion, two hundred one million, fifty-three thousand, eight hundred eighty".