2812320000 has 900 divisors, whose sum is σ = 12362242816. Its totient is φ = 622080000.

The previous prime is 2812319999. The next prime is 2812320073. The reversal of 2812320000 is 232182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (900).

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

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 99 ways as a sum of consecutive naturals, for example, 90719985 + ... + 90720015.

Almost surely, 2^2812320000 is an apocalyptic number.

2812320000 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 2812320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181121408).

2812320000 is an abundant number, since it is smaller than the sum of its proper divisors (9549922816).

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

2812320000 is an frugal number, since it uses more digits than its factorization.

2812320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2812320000 is about 53031.3115055624. The cubic root of 2812320000 is about 1411.5239295262.

Adding to 2812320000 its reverse (232182), we get a palindrome (2812552182).

The spelling of 2812320000 in words is "two billion, eight hundred twelve million, three hundred twenty thousand".