2090864160 has 576 divisors, whose sum is σ = 9029180160. Its totient is φ = 427991040.

The previous prime is 2090864159. The next prime is 2090864179. The reversal of 2090864160 is 614680902.

2090864160 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 8 + 641 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12085834 + ... + 12086006.

It is an arithmetic number, because the mean of its divisors is an integer number (15675660).

Almost surely, 2^2090864160 is an apocalyptic number.

2090864160 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 2090864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514590080).

2090864160 is an abundant number, since it is smaller than the sum of its proper divisors (6938316000).

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

2090864160 is a wasteful number, since it uses less digits than its factorization.

2090864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2090864160 is about 45725.9681144096. The cubic root of 2090864160 is about 1278.7194550141.

The spelling of 2090864160 in words is "two billion, ninety million, eight hundred sixty-four thousand, one hundred sixty".