2868096000 has 704 divisors, whose sum is σ = 12017101824. Its totient is φ = 589824000.

The previous prime is 2868095981. The next prime is 2868096017. The reversal of 2868096000 is 6908682.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 2868096000.

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, 29567952 + ... + 29568048.

Almost surely, 2^2868096000 is an apocalyptic number.

2868096000 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 2868096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008550912).

2868096000 is an abundant number, since it is smaller than the sum of its proper divisors (9149005824).

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

2868096000 is a wasteful number, since it uses less digits than its factorization.

2868096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2868096000 is about 53554.6076449076. The cubic root of 2868096000 is about 1420.7943713761.

The spelling of 2868096000 in words is "two billion, eight hundred sixty-eight million, ninety-six thousand".