2864312000 has 224 divisors, whose sum is σ = 7831287360. Its totient is φ = 1037696000.

The previous prime is 2864311981. The next prime is 2864312021. The reversal of 2864312000 is 2134682.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10647866 + ... + 10648134.

Almost surely, 2^2864312000 is an apocalyptic number.

2864312000 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 2864312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915643680).

2864312000 is an abundant number, since it is smaller than the sum of its proper divisors (4966975360).

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

2864312000 is an equidigital number, since it uses as much as digits as its factorization.

2864312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2864312000 is about 53519.2675585158. The cubic root of 2864312000 is about 1420.1692584066.

Adding to 2864312000 its reverse (2134682), we get a palindrome (2866446682).

The spelling of 2864312000 in words is "two billion, eight hundred sixty-four million, three hundred twelve thousand".