2068389120 has 144 divisors (see below), whose sum is σ = 7549718400. Its totient is φ = 472768512.

The previous prime is 2068389109. The next prime is 2068389131. The reversal of 2068389120 is 219838602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2068389109) and next prime (2068389131).

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 15 ways as a sum of consecutive naturals, for example, 11595 + ... + 65354.

It is an arithmetic number, because the mean of its divisors is an integer number (52428600).

Almost surely, 2^2068389120 is an apocalyptic number.

2068389120 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 2068389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774859200).

2068389120 is an abundant number, since it is smaller than the sum of its proper divisors (5481329280).

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

2068389120 is an equidigital number, since it uses as much as digits as its factorization.

2068389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76980 (or 76966 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2068389120 is about 45479.5461718782. The cubic root of 2068389120 is about 1274.1212183611.

The spelling of 2068389120 in words is "two billion, sixty-eight million, three hundred eighty-nine thousand, one hundred twenty".