2812528320 has 448 divisors, whose sum is σ = 11011424256. Its totient is φ = 594063360.

The previous prime is 2812528319. The next prime is 2812528337. The reversal of 2812528320 is 238252182.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4791067 + ... + 4791653.

It is an arithmetic number, because the mean of its divisors is an integer number (24579072).

Almost surely, 2^2812528320 is an apocalyptic number.

2812528320 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 2812528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505712128).

2812528320 is an abundant number, since it is smaller than the sum of its proper divisors (8198895936).

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

2812528320 is a wasteful number, since it uses less digits than its factorization.

2812528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2812528320 is about 53033.2755918395. The cubic root of 2812528320 is about 1411.5587811084.

The spelling of 2812528320 in words is "two billion, eight hundred twelve million, five hundred twenty-eight thousand, three hundred twenty".