2688042672 has 240 divisors, whose sum is σ = 8973036800. Its totient is φ = 763105536.

The previous prime is 2688042671. The next prime is 2688042673. The reversal of 2688042672 is 2762408862.

It is an interprime number because it is at equal distance from previous prime (2688042671) and next prime (2688042673).

It is not an unprimeable number, because it can be changed into a prime (2688042671) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7701954 + ... + 7702302.

Almost surely, 2^2688042672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688042672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486518400).

2688042672 is an abundant number, since it is smaller than the sum of its proper divisors (6284994128).

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

2688042672 is a wasteful number, since it uses less digits than its factorization.

2688042672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2688042672 is about 51846.3371126640. The cubic root of 2688042672 is about 1390.4180155054.

The spelling of 2688042672 in words is "two billion, six hundred eighty-eight million, forty-two thousand, six hundred seventy-two".