2688979104 has 144 divisors (see below), whose sum is σ = 9199270080. Its totient is φ = 727833600.

The previous prime is 2688979099. The next prime is 2688979109. The reversal of 2688979104 is 4019798862.

It is an interprime number because it is at equal distance from previous prime (2688979099) and next prime (2688979109).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2688979109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3204 + ... + 73404.

It is an arithmetic number, because the mean of its divisors is an integer number (63883820).

Almost surely, 2^2688979104 is an apocalyptic number.

2688979104 is a gapful number since it is divisible by the number (24) 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 2688979104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599635040).

2688979104 is an abundant number, since it is smaller than the sum of its proper divisors (6510290976).

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

2688979104 is a wasteful number, since it uses less digits than its factorization.

2688979104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70243 (or 70232 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2688979104 is about 51855.3671667649. The cubic root of 2688979104 is about 1390.5794564887.

The spelling of 2688979104 in words is "two billion, six hundred eighty-eight million, nine hundred seventy-nine thousand, one hundred four".