2688478884 has 144 divisors (see below), whose sum is σ = 8732035200. Its totient is φ = 709031232.

The previous prime is 2688478883. The next prime is 2688478909. The reversal of 2688478884 is 4888748862.

2688478884 is a `hidden beast` number, since 2 + 6 + 88 + 478 + 8 + 84 = 666.

2688478884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2688478884³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2688478883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49257 + ... + 88335.

Almost surely, 2^2688478884 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 2688478884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366017600).

2688478884 is an abundant number, since it is smaller than the sum of its proper divisors (6043556316).

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

2688478884 is a wasteful number, since it uses less digits than its factorization.

2688478884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39119 (or 39104 counting only the distinct ones).

The product of its digits is 44040192, while the sum is 63.

The square root of 2688478884 is about 51850.5437194250. The cubic root of 2688478884 is about 1390.4932231679.

The spelling of 2688478884 in words is "two billion, six hundred eighty-eight million, four hundred seventy-eight thousand, eight hundred eighty-four".