2108465704800 has 4608 divisors, whose sum is σ = 10847905689600. Its totient is φ = 386983526400.

The previous prime is 2108465704789. The next prime is 2108465704859. The reversal of 2108465704800 is 84075648012.

2108465704800 is a `hidden beast` number, since 2 + 108 + 4 + 65 + 7 + 0 + 480 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 51425992780 + ... + 51425992820.

It is an arithmetic number, because the mean of its divisors is an integer number (2354146200).

Almost surely, 2^{2108465704800} is an apocalyptic number.

2108465704800 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 2108465704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423952844800).

2108465704800 is an abundant number, since it is smaller than the sum of its proper divisors (8739439984800).

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

2108465704800 is a wasteful number, since it uses less digits than its factorization.

2108465704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2108465704800 in words is "two trillion, one hundred eight billion, four hundred sixty-five million, seven hundred four thousand, eight hundred".