2029320000 has 280 divisors, whose sum is σ = 7458862400. Its totient is φ = 540864000.

The previous prime is 2029319983. The next prime is 2029320011. The reversal of 2029320000 is 239202.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 1079061 + ... + 1080939.

Almost surely, 2^2029320000 is an apocalyptic number.

2029320000 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 2029320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729431200).

2029320000 is an abundant number, since it is smaller than the sum of its proper divisors (5429542400).

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

2029320000 is an equidigital number, since it uses as much as digits as its factorization.

2029320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2029320000 is about 45047.9744272703. The cubic root of 2029320000 is about 1266.0480204601.

Adding to 2029320000 its reverse (239202), we get a palindrome (2029559202).

The spelling of 2029320000 in words is "two billion, twenty-nine million, three hundred twenty thousand".