2688785280 has 512 divisors, whose sum is σ = 10297756800. Its totient is φ = 668860416.

The previous prime is 2688785273. The next prime is 2688785287. The reversal of 2688785280 is 825878862.

It is an interprime number because it is at equal distance from previous prime (2688785273) and next prime (2688785287).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688785287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23794504 + ... + 23794616.

Almost surely, 2^2688785280 is an apocalyptic number.

2688785280 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 2688785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148878400).

2688785280 is an abundant number, since it is smaller than the sum of its proper divisors (7608971520).

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

2688785280 is an equidigital number, since it uses as much as digits as its factorization.

2688785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 2688785280 is about 51853.4982426451. The cubic root of 2688785280 is about 1390.5460442855.

The spelling of 2688785280 in words is "two billion, six hundred eighty-eight million, seven hundred eighty-five thousand, two hundred eighty".