2864896000 has 288 divisors, whose sum is σ = 7788493440. Its totient is φ = 1050624000.

The previous prime is 2864895991. The next prime is 2864896009. The reversal of 2864896000 is 6984682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2864895991) and next prime (2864896009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864896009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92415985 + ... + 92416015.

It is an arithmetic number, because the mean of its divisors is an integer number (27043380).

Almost surely, 2^2864896000 is an apocalyptic number.

2864896000 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 2864896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894246720).

2864896000 is an abundant number, since it is smaller than the sum of its proper divisors (4923597440).

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

2864896000 is an equidigital number, since it uses as much as digits as its factorization.

2864896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 2864896000 is about 53524.7232594434. The cubic root of 2864896000 is about 1420.2657705284.

The spelling of 2864896000 in words is "two billion, eight hundred sixty-four million, eight hundred ninety-six thousand".