2816873297280 has 512 divisors, whose sum is σ = 11483724672000. Its totient is φ = 639220875264.

The previous prime is 2816873297243. The next prime is 2816873297299. The reversal of 2816873297280 is 827923786182.

2816873297280 is a `hidden beast` number, since 2 + 8 + 1 + 68 + 7 + 3 + 297 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16729672 + ... + 16897208.

It is an arithmetic number, because the mean of its divisors is an integer number (22429149750).

Almost surely, 2^{2816873297280} is an apocalyptic number.

2816873297280 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 2816873297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741862336000).

2816873297280 is an abundant number, since it is smaller than the sum of its proper divisors (8666851374720).

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

2816873297280 is a wasteful number, since it uses less digits than its factorization.

2816873297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167711 (or 167693 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 2816873297280 in words is "two trillion, eight hundred sixteen billion, eight hundred seventy-three million, two hundred ninety-seven thousand, two hundred eighty".