2816273940480 has 2880 divisors, whose sum is σ = 13812360807168. Its totient is φ = 529992253440.

The previous prime is 2816273940407. The next prime is 2816273940511. The reversal of 2816273940480 is 840493726182.

2816273940480 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 2 + 73 + 94 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53137244134 + ... + 53137244186.

Almost surely, 2^{2816273940480} is an apocalyptic number.

2816273940480 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 2816273940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906180403584).

2816273940480 is an abundant number, since it is smaller than the sum of its proper divisors (10996086866688).

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

2816273940480 is an equidigital number, since it uses as much as digits as its factorization.

2816273940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2816273940480 in words is "two trillion, eight hundred sixteen billion, two hundred seventy-three million, nine hundred forty thousand, four hundred eighty".