2788989760 has 56 divisors (see below), whose sum is σ = 6707114856. Its totient is φ = 1104537600.

The previous prime is 2788989743. The next prime is 2788989787. The reversal of 2788989760 is 679898872.

It can be written as a sum of positive squares in 4 ways, for example, as 195328576 + 2593661184 = 13976^2 + 50928^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 2788989692 and 2788989701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10827 + ... + 75466.

Almost surely, 2^2788989760 is an apocalyptic number.

2788989760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2788989760 is an abundant number, since it is smaller than the sum of its proper divisors (3918125096).

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

2788989760 is a wasteful number, since it uses less digits than its factorization.

2788989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86411 (or 86401 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 64.

The square root of 2788989760 is about 52810.8867564255. The cubic root of 2788989760 is about 1407.6098802962.

It can be divided in two parts, 27889 and 89760, that added together give a 6-th power (117649 = 7⁶).

The spelling of 2788989760 in words is "two billion, seven hundred eighty-eight million, nine hundred eighty-nine thousand, seven hundred sixty".