2865668960 has 384 divisors, whose sum is σ = 8883302400. Its totient is φ = 865536000.

The previous prime is 2865668957. The next prime is 2865668983. The reversal of 2865668960 is 698665682.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 2865668896 and 2865668905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28372910 + ... + 28373010.

It is an arithmetic number, because the mean of its divisors is an integer number (23133600).

Almost surely, 2^2865668960 is an apocalyptic number.

2865668960 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 2865668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441651200).

2865668960 is an abundant number, since it is smaller than the sum of its proper divisors (6017633440).

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

2865668960 is a wasteful number, since it uses less digits than its factorization.

2865668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 56.

The square root of 2865668960 is about 53531.9433609504. The cubic root of 2865668960 is about 1420.3934901052.

The spelling of 2865668960 in words is "two billion, eight hundred sixty-five million, six hundred sixty-eight thousand, nine hundred sixty".