2688305742 has 48 divisors (see below), whose sum is σ = 6042104640. Its totient is φ = 862819776.

The previous prime is 2688305701. The next prime is 2688305743. The reversal of 2688305742 is 2475038862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688305743) 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 23 ways as a sum of consecutive naturals, for example, 187803 + ... + 201609.

It is an arithmetic number, because the mean of its divisors is an integer number (125877180).

Almost surely, 2^2688305742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688305742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021052320).

2688305742 is an abundant number, since it is smaller than the sum of its proper divisors (3353798898).

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

2688305742 is a wasteful number, since it uses less digits than its factorization.

2688305742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2688305742 is about 51848.8740668493. The cubic root of 2688305742 is about 1390.4633725898.

The spelling of 2688305742 in words is "two billion, six hundred eighty-eight million, three hundred five thousand, seven hundred forty-two".