2089028340000 has 3840 divisors, whose sum is σ = 10202734080000. Its totient is φ = 404103168000.

The previous prime is 2089028339939. The next prime is 2089028340001. The reversal of 2089028340000 is 438209802.

2089028340000 is a `hidden beast` number, since 208 + 90 + 28 + 340 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2089028340001) 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 639 ways as a sum of consecutive naturals, for example, 35407259971 + ... + 35407260029.

It is an arithmetic number, because the mean of its divisors is an integer number (2656962000).

Almost surely, 2^{2089028340000} is an apocalyptic number.

2089028340000 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 2089028340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101367040000).

2089028340000 is an abundant number, since it is smaller than the sum of its proper divisors (8113705740000).

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

2089028340000 is a wasteful number, since it uses less digits than its factorization.

2089028340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2089028340000 in words is "two trillion, eighty-nine billion, twenty-eight million, three hundred forty thousand".