2678895360 has 216 divisors, whose sum is σ = 9814633920. Its totient is φ = 672301056.

The previous prime is 2678895347. The next prime is 2678895421. The reversal of 2678895360 is 635988762.

It is a happy number.

2678895360 is a `hidden beast` number, since 26 + 7 + 8 + 89 + 536 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2678895297 and 2678895306.

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, 189001 + ... + 202679.

It is an arithmetic number, because the mean of its divisors is an integer number (45438120).

Almost surely, 2^2678895360 is an apocalyptic number.

2678895360 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 2678895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907316960).

2678895360 is an abundant number, since it is smaller than the sum of its proper divisors (7135738560).

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

2678895360 is a wasteful number, since it uses less digits than its factorization.

2678895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13723 (or 13706 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2678895360 is about 51758.0463309812. The cubic root of 2678895360 is about 1388.8390423450.

The spelling of 2678895360 in words is "two billion, six hundred seventy-eight million, eight hundred ninety-five thousand, three hundred sixty".