2859816960 has 1152 divisors, whose sum is σ = 13737185280. Its totient is φ = 530841600.

The previous prime is 2859816859. The next prime is 2859816979. The reversal of 2859816960 is 696189582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 2859816897 and 2859816906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92252145 + ... + 92252175.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2^2859816960 is an apocalyptic number.

2859816960 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 2859816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868592640).

2859816960 is an abundant number, since it is smaller than the sum of its proper divisors (10877368320).

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

2859816960 is a wasteful number, since it uses less digits than its factorization.

2859816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2859816960 is about 53477.2564741311. The cubic root of 2859816960 is about 1419.4259664844.

The spelling of 2859816960 in words is "two billion, eight hundred fifty-nine million, eight hundred sixteen thousand, nine hundred sixty".