2820782454912 has 160 divisors (see below), whose sum is σ = 8396003911680. Its totient is φ = 940103898624.

The previous prime is 2820782454901. The next prime is 2820782454923. The reversal of 2820782454912 is 2194542870282.

2820782454912 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 7 + 82 + 4 + 549 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2820782454901) and next prime (2820782454923).

It is a super-3 number, since 3×2820782454912³ (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 19 ways as a sum of consecutive naturals, for example, 73624753 + ... + 73663055.

It is an arithmetic number, because the mean of its divisors is an integer number (52475024448).

Almost surely, 2^{2820782454912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820782454912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198001955840).

2820782454912 is an abundant number, since it is smaller than the sum of its proper divisors (5575221456768).

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

2820782454912 is an equidigital number, since it uses as much as digits as its factorization.

2820782454912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45432 (or 45411 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2820782454912 in words is "two trillion, eight hundred twenty billion, seven hundred eighty-two million, four hundred fifty-four thousand, nine hundred twelve".