2788072318080 has 1536 divisors, whose sum is σ = 11816760384000. Its totient is φ = 591654813696.

The previous prime is 2788072318079. The next prime is 2788072318123. The reversal of 2788072318080 is 808132708872.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14445970464 + ... + 14445970656.

It is an arithmetic number, because the mean of its divisors is an integer number (7693203375).

Almost surely, 2^{2788072318080} is an apocalyptic number.

2788072318080 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 2788072318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908380192000).

2788072318080 is an abundant number, since it is smaller than the sum of its proper divisors (9028688065920).

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

2788072318080 is a wasteful number, since it uses less digits than its factorization.

2788072318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 2788072318080 in words is "two trillion, seven hundred eighty-eight billion, seventy-two million, three hundred eighteen thousand, eighty".