2029312080 has 480 divisors, whose sum is σ = 7576657920. Its totient is φ = 485084160.

The previous prime is 2029312073. The next prime is 2029312121. The reversal of 2029312080 is 802139202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30288207 + ... + 30288273.

It is an arithmetic number, because the mean of its divisors is an integer number (15784704).

Almost surely, 2^2029312080 is an apocalyptic number.

2029312080 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 2029312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788328960).

2029312080 is an abundant number, since it is smaller than the sum of its proper divisors (5547345840).

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

2029312080 is a wasteful number, since it uses less digits than its factorization.

2029312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2029312080 is about 45047.8865209013. The cubic root of 2029312080 is about 1266.0463734202.

The spelling of 2029312080 in words is "two billion, twenty-nine million, three hundred twelve thousand, eighty".