2788081344 has 448 divisors, whose sum is σ = 9217152000. Its totient is φ = 823173120.

The previous prime is 2788081339. The next prime is 2788081357. The reversal of 2788081344 is 4431808872.

2788081344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2788081344.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47255587 + ... + 47255645.

It is an arithmetic number, because the mean of its divisors is an integer number (20574000).

Almost surely, 2^2788081344 is an apocalyptic number.

2788081344 is a gapful number since it is divisible by the number (24) 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 2788081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576000).

2788081344 is an abundant number, since it is smaller than the sum of its proper divisors (6429070656).

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

2788081344 is a wasteful number, since it uses less digits than its factorization.

2788081344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2788081344 is about 52802.2854050845. The cubic root of 2788081344 is about 1407.4570371161.

The spelling of 2788081344 in words is "two billion, seven hundred eighty-eight million, eighty-one thousand, three hundred forty-four".