2068272360 has 1152 divisors, whose sum is σ = 9824976000. Its totient is φ = 383201280.

The previous prime is 2068272329. The next prime is 2068272403. The reversal of 2068272360 is 632728602.

2068272360 is a `hidden beast` number, since 20 + 6 + 8 + 272 + 360 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 108856431 + ... + 108856449.

It is an arithmetic number, because the mean of its divisors is an integer number (8528625).

Almost surely, 2^2068272360 is an apocalyptic number.

2068272360 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 2068272360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912488000).

2068272360 is an abundant number, since it is smaller than the sum of its proper divisors (7756703640).

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

2068272360 is a wasteful number, since it uses less digits than its factorization.

2068272360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2068272360 is about 45478.2624997921. The cubic root of 2068272360 is about 1274.0972433119.

The spelling of 2068272360 in words is "two billion, sixty-eight million, two hundred seventy-two thousand, three hundred sixty".