2089123964928 has 1920 divisors, whose sum is σ = 8758512322560. Its totient is φ = 478235197440.

The previous prime is 2089123964897. The next prime is 2089123964957. The reversal of 2089123964928 is 8294693219802.

2089123964928 is a `hidden beast` number, since 20 + 8 + 91 + 2 + 39 + 6 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3819239151 + ... + 3819239697.

It is an arithmetic number, because the mean of its divisors is an integer number (4561725168).

Almost surely, 2^{2089123964928} is an apocalyptic number.

2089123964928 is a gapful number since it is divisible by the number (28) 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 2089123964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379256161280).

2089123964928 is an abundant number, since it is smaller than the sum of its proper divisors (6669388357632).

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

2089123964928 is a wasteful number, since it uses less digits than its factorization.

2089123964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 2089123964928 in words is "two trillion, eighty-nine billion, one hundred twenty-three million, nine hundred sixty-four thousand, nine hundred twenty-eight".