2688811920 has 120 divisors (see below), whose sum is σ = 9153803256. Its totient is φ = 707180544.

The previous prime is 2688811913. The next prime is 2688811949. The reversal of 2688811920 is 291188862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1138657536 + 1550154384 = 33744^2 + 39372^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2688811920² = 14459419082268172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26982 + ... + 78138.

Almost surely, 2^2688811920 is an apocalyptic number.

2688811920 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 2688811920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576901628).

2688811920 is an abundant number, since it is smaller than the sum of its proper divisors (6464991336).

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

2688811920 is a wasteful number, since it uses less digits than its factorization.

2688811920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51249 (or 51240 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 2688811920 is about 51853.7551195668. The cubic root of 2688811920 is about 1390.5506366968.

It can be divided in two parts, 268 and 8811920, that added together give a palindrome (8812188).

The spelling of 2688811920 in words is "two billion, six hundred eighty-eight million, eight hundred eleven thousand, nine hundred twenty".