2089170876800 has 192 divisors, whose sum is σ = 5903792966400. Its totient is φ = 715605166080.

The previous prime is 2089170876773. The next prime is 2089170876811. The reversal of 2089170876800 is 86780719802.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23767331 + ... + 23855069.

It is an arithmetic number, because the mean of its divisors is an integer number (30748921700).

Almost surely, 2^{2089170876800} is an apocalyptic number.

2089170876800 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 2089170876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951896483200).

2089170876800 is an abundant number, since it is smaller than the sum of its proper divisors (3814622089600).

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

2089170876800 is a wasteful number, since it uses less digits than its factorization.

2089170876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88833 (or 88816 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 56.

The spelling of 2089170876800 in words is "two trillion, eighty-nine billion, one hundred seventy million, eight hundred seventy-six thousand, eight hundred".