2168026560 has 504 divisors, whose sum is σ = 9011686320. Its totient is φ = 494678016.

The previous prime is 2168026513. The next prime is 2168026591. The reversal of 2168026560 is 656208612.

2168026560 is a `hidden beast` number, since 2 + 16 + 80 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3809956 + ... + 3810524.

It is an arithmetic number, because the mean of its divisors is an integer number (17880330).

Almost surely, 2^2168026560 is an apocalyptic number.

2168026560 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 2168026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505843160).

2168026560 is an abundant number, since it is smaller than the sum of its proper divisors (6843659760).

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

2168026560 is an equidigital number, since it uses as much as digits as its factorization.

2168026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2168026560 is about 46562.0721188394. The cubic root of 2168026560 is about 1294.2600106419.

The spelling of 2168026560 in words is "two billion, one hundred sixty-eight million, twenty-six thousand, five hundred sixty".