2788249928960 has 72 divisors (see below), whose sum is σ = 6772796747136. Its totient is φ = 1099591485440.

The previous prime is 2788249928869. The next prime is 2788249928987. The reversal of 2788249928960 is 698299428872.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15249404 + ... + 15431163.

It is an arithmetic number, because the mean of its divisors is an integer number (94066621488).

Almost surely, 2^{2788249928960} is an apocalyptic number.

2788249928960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2788249928960 is an abundant number, since it is smaller than the sum of its proper divisors (3984546818176).

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

2788249928960 is an equidigital number, since it uses as much as digits as its factorization.

2788249928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30680659 (or 30680645 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 74.

The spelling of 2788249928960 in words is "two trillion, seven hundred eighty-eight billion, two hundred forty-nine million, nine hundred twenty-eight thousand, nine hundred sixty".