2089593522720 has 288 divisors, whose sum is σ = 7906514825664. Its totient is φ = 498263500800.

The previous prime is 2089593522719. The next prime is 2089593522727. The reversal of 2089593522720 is 272253959802.

2089593522720 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 5 + 93 + 522 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2089593522727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 115062 + ... + 2047541.

It is an arithmetic number, because the mean of its divisors is an integer number (27453176478).

Almost surely, 2^{2089593522720} is an apocalyptic number.

2089593522720 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 2089593522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953257412832).

2089593522720 is an abundant number, since it is smaller than the sum of its proper divisors (5816921302944).

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

2089593522720 is a wasteful number, since it uses less digits than its factorization.

2089593522720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162696 (or 2162685 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2089593522720 in words is "two trillion, eighty-nine billion, five hundred ninety-three million, five hundred twenty-two thousand, seven hundred twenty".