2688801120 has 432 divisors, whose sum is σ = 9954388080. Its totient is φ = 659957760.

The previous prime is 2688801097. The next prime is 2688801133. The reversal of 2688801120 is 211088862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40131327 + ... + 40131393.

It is an arithmetic number, because the mean of its divisors is an integer number (23042565).

Almost surely, 2^2688801120 is an apocalyptic number.

2688801120 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 2688801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977194040).

2688801120 is an abundant number, since it is smaller than the sum of its proper divisors (7265586960).

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

2688801120 is a wasteful number, since it uses less digits than its factorization.

2688801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2688801120 is about 51853.6509804276. The cubic root of 2688801120 is about 1390.5487749121.

Adding to 2688801120 its reverse (211088862), we get a palindrome (2899889982).

The spelling of 2688801120 in words is "two billion, six hundred eighty-eight million, eight hundred one thousand, one hundred twenty".