2108975616000 has 2496 divisors, whose sum is σ = 9108865898496. Its totient is φ = 481738752000.

The previous prime is 2108975615881. The next prime is 2108975616089. The reversal of 2108975616000 is 6165798012.

2108975616000 is a `hidden beast` number, since 2 + 1 + 0 + 89 + 7 + 561 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31477247967 + ... + 31477248033.

It is an arithmetic number, because the mean of its divisors is an integer number (3649385376).

Almost surely, 2^{2108975616000} is an apocalyptic number.

2108975616000 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 2108975616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554432949248).

2108975616000 is an abundant number, since it is smaller than the sum of its proper divisors (6999890282496).

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

2108975616000 is an equidigital number, since it uses as much as digits as its factorization.

2108975616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2108975616000 in words is "two trillion, one hundred eight billion, nine hundred seventy-five million, six hundred sixteen thousand".