2089104376320 has 1280 divisors, whose sum is σ = 8181826329600. Its totient is φ = 502176153600.

The previous prime is 2089104376319. The next prime is 2089104376339. The reversal of 2089104376320 is 236734019802.

2089104376320 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 1 + 0 + 4 + 3 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12075747754 + ... + 12075747926.

It is an arithmetic number, because the mean of its divisors is an integer number (6392051820).

Almost surely, 2^{2089104376320} is an apocalyptic number.

2089104376320 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 2089104376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090913164800).

2089104376320 is an abundant number, since it is smaller than the sum of its proper divisors (6092721953280).

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

2089104376320 is a wasteful number, since it uses less digits than its factorization.

2089104376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2089104376320 in words is "two trillion, eighty-nine billion, one hundred four million, three hundred seventy-six thousand, three hundred twenty".