2688342048 has 336 divisors, whose sum is σ = 9214986816. Its totient is φ = 755827200.

The previous prime is 2688341993. The next prime is 2688342067. The reversal of 2688342048 is 8402438862.

2688342048 is a `hidden beast` number, since 268 + 8 + 342 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2688341994 and 2688342012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16492815 + ... + 16492977.

It is an arithmetic number, because the mean of its divisors is an integer number (27425556).

Almost surely, 2^2688342048 is an apocalyptic number.

2688342048 is a gapful number since it is divisible by the number (28) 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 2688342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607493408).

2688342048 is an abundant number, since it is smaller than the sum of its proper divisors (6526644768).

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

2688342048 is a wasteful number, since it uses less digits than its factorization.

2688342048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2688342048 is about 51849.2241793452. The cubic root of 2688342048 is about 1390.4696320386.

The spelling of 2688342048 in words is "two billion, six hundred eighty-eight million, three hundred forty-two thousand, forty-eight".