2808724289280 has 2304 divisors, whose sum is σ = 12434900115456. Its totient is φ = 523197480960.

The previous prime is 2808724289269. The next prime is 2808724289309. The reversal of 2808724289280 is 829824278082.

It is a super-2 number, since 2×2808724289280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8334493272 + ... + 8334493608.

It is an arithmetic number, because the mean of its divisors is an integer number (5397092064).

Almost surely, 2^{2808724289280} is an apocalyptic number.

2808724289280 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 2808724289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217450057728).

2808724289280 is an abundant number, since it is smaller than the sum of its proper divisors (9626175826176).

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

2808724289280 is a wasteful number, since it uses less digits than its factorization.

2808724289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 2808724289280 in words is "two trillion, eight hundred eight billion, seven hundred twenty-four million, two hundred eighty-nine thousand, two hundred eighty".