2678286960 has 120 divisors (see below), whose sum is σ = 9077365440. Its totient is φ = 707636736.

The previous prime is 2678286953. The next prime is 2678286971. The reversal of 2678286960 is 696828762.

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

It is a junction number, because it is equal to n+sod(n) for n = 2678286897 and 2678286906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61417 + ... + 95543.

It is an arithmetic number, because the mean of its divisors is an integer number (75644712).

Almost surely, 2^2678286960 is an apocalyptic number.

2678286960 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 2678286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538682720).

2678286960 is an abundant number, since it is smaller than the sum of its proper divisors (6399078480).

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

2678286960 is a wasteful number, since it uses less digits than its factorization.

2678286960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34255 (or 34246 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2678286960 is about 51752.1686502121. The cubic root of 2678286960 is about 1388.7338953180.

The spelling of 2678286960 in words is "two billion, six hundred seventy-eight million, two hundred eighty-six thousand, nine hundred sixty".