2680812288 has 720 divisors, whose sum is σ = 10541938176. Its totient is φ = 656916480.

The previous prime is 2680812259. The next prime is 2680812289. The reversal of 2680812288 is 8822180862.

2680812288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2680812289) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36723420 + ... + 36723492.

Almost surely, 2^2680812288 is an apocalyptic number.

2680812288 is a gapful number since it is divisible by the number (28) 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 2680812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270969088).

2680812288 is an abundant number, since it is smaller than the sum of its proper divisors (7861125888).

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

2680812288 is a wasteful number, since it uses less digits than its factorization.

2680812288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 2680812288 is about 51776.5611836089. The cubic root of 2680812288 is about 1389.1702322975.

The spelling of 2680812288 in words is "two billion, six hundred eighty million, eight hundred twelve thousand, two hundred eighty-eight".