2812705948800 has 1728 divisors, whose sum is σ = 11986361618400. Its totient is φ = 644972544000.

The previous prime is 2812705948799. The next prime is 2812705948813. The reversal of 2812705948800 is 88495072182.

2812705948800 is a `hidden beast` number, since 28 + 1 + 27 + 0 + 594 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2812705948800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 215 ways as a sum of consecutive naturals, for example, 4387996480 + ... + 4387997120.

Almost surely, 2^{2812705948800} is an apocalyptic number.

2812705948800 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 2812705948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993180809200).

2812705948800 is an abundant number, since it is smaller than the sum of its proper divisors (9173655669600).

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

2812705948800 is an equidigital number, since it uses as much as digits as its factorization.

2812705948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 2812705948800 in words is "two trillion, eight hundred twelve billion, seven hundred five million, nine hundred forty-eight thousand, eight hundred".