2688000000 has 392 divisors, whose sum is σ = 10239243936. Its totient is φ = 614400000.

The previous prime is 2687999971. The next prime is 2688000011. The reversal of 2688000000 is 8862.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 383999997 + ... + 384000003.

Almost surely, 2^2688000000 is an apocalyptic number.

2688000000 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 2688000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119621968).

2688000000 is an abundant number, since it is smaller than the sum of its proper divisors (7551243936).

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

2688000000 is an frugal number, since it uses more digits than its factorization.

2688000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2688000000 is about 51845.9255872629. The cubic root of 2688000000 is about 1390.4106579546.

Adding to 2688000000 its reverse (8862), we get a palindrome (2688008862).

The spelling of 2688000000 in words is "two billion, six hundred eighty-eight million", and thus it is an aban number.