2688440080 has 80 divisors (see below), whose sum is σ = 6334308864. Its totient is φ = 1061061120.

The previous prime is 2688440071. The next prime is 2688440081. The reversal of 2688440080 is 800448862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2688440081) 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 15 ways as a sum of consecutive naturals, for example, 3551062 + ... + 3551818.

Almost surely, 2^2688440080 is an apocalyptic number.

2688440080 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 2688440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167154432).

2688440080 is an abundant number, since it is smaller than the sum of its proper divisors (3645868784).

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

2688440080 is a wasteful number, since it uses less digits than its factorization.

2688440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 2688440080 is about 51850.1695272060. The cubic root of 2688440080 is about 1390.4865332686.

The spelling of 2688440080 in words is "two billion, six hundred eighty-eight million, four hundred forty thousand, eighty".