2030516800 has 168 divisors, whose sum is σ = 5514225192. Its totient is φ = 731136000.

The previous prime is 2030516783. The next prime is 2030516819. The reversal of 2030516800 is 86150302.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1964971584 + 65545216 = 44328^2 + 8096^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 851610 + ... + 853990.

It is an arithmetic number, because the mean of its divisors is an integer number (32822769).

Almost surely, 2^2030516800 is an apocalyptic number.

2030516800 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 2030516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757112596).

2030516800 is an abundant number, since it is smaller than the sum of its proper divisors (3483708392).

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

2030516800 is a wasteful number, since it uses less digits than its factorization.

2030516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2030516800 is about 45061.2560854666. The cubic root of 2030516800 is about 1266.2968572629.

The spelling of 2030516800 in words is "two billion, thirty million, five hundred sixteen thousand, eight hundred".