2688909408 has 72 divisors (see below), whose sum is σ = 7701712200. Its totient is φ = 889841664.

The previous prime is 2688909407. The next prime is 2688909409. The reversal of 2688909408 is 8049098862.

It is an interprime number because it is at equal distance from previous prime (2688909407) and next prime (2688909409).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688909401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6448 + ... + 73616.

It is an arithmetic number, because the mean of its divisors is an integer number (106968225).

Almost surely, 2^2688909408 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 2688909408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850856100).

2688909408 is an abundant number, since it is smaller than the sum of its proper divisors (5012802792).

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

2688909408 is a wasteful number, since it uses less digits than its factorization.

2688909408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67324 (or 67313 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2688909408 is about 51854.6951393989. The cubic root of 2688909408 is about 1390.5674421815.

The spelling of 2688909408 in words is "two billion, six hundred eighty-eight million, nine hundred nine thousand, four hundred eight".