2030328960 has 256 divisors, whose sum is σ = 7106641920. Its totient is φ = 488960000.

The previous prime is 2030328953. The next prime is 2030328991. The reversal of 2030328960 is 698230302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5300929 + ... + 5301311.

It is an arithmetic number, because the mean of its divisors is an integer number (27760320).

Almost surely, 2^2030328960 is an apocalyptic number.

2030328960 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 2030328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553320960).

2030328960 is an abundant number, since it is smaller than the sum of its proper divisors (5076312960).

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

2030328960 is a wasteful number, since it uses less digits than its factorization.

2030328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2030328960 is about 45059.1717633602. The cubic root of 2030328960 is about 1266.2578083310.

The spelling of 2030328960 in words is "two billion, thirty million, three hundred twenty-eight thousand, nine hundred sixty".