2788871680 has 160 divisors (see below), whose sum is σ = 8045199360. Its totient is φ = 905748480.

The previous prime is 2788871677. The next prime is 2788871689. The reversal of 2788871680 is 861788872.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2788871689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 336385 + ... + 344575.

It is an arithmetic number, because the mean of its divisors is an integer number (50282496).

Almost surely, 2^2788871680 is an apocalyptic number.

2788871680 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 2788871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022599680).

2788871680 is an abundant number, since it is smaller than the sum of its proper divisors (5256327680).

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

2788871680 is an equidigital number, since it uses as much as digits as its factorization.

2788871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 55.

The square root of 2788871680 is about 52809.7687932829. The cubic root of 2788871680 is about 1407.5900149286.

The spelling of 2788871680 in words is "two billion, seven hundred eighty-eight million, eight hundred seventy-one thousand, six hundred eighty".