2068264080 has 120 divisors (see below), whose sum is σ = 7043924160. Its totient is φ = 543755520.

The previous prime is 2068264049. The next prime is 2068264087. The reversal of 2068264080 is 804628602.

2068264080 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 2 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (2068264087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30891 + ... + 71349.

It is an arithmetic number, because the mean of its divisors is an integer number (58699368).

Almost surely, 2^2068264080 is an apocalyptic number.

2068264080 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 2068264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521962080).

2068264080 is an abundant number, since it is smaller than the sum of its proper divisors (4975660080).

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

2068264080 is a wasteful number, since it uses less digits than its factorization.

2068264080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40549 (or 40540 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2068264080 is about 45478.1714671995. The cubic root of 2068264080 is about 1274.0955430943.

The spelling of 2068264080 in words is "two billion, sixty-eight million, two hundred sixty-four thousand, eighty".