2864324544000 has 320 divisors, whose sum is σ = 9532574251200. Its totient is φ = 763065139200.

The previous prime is 2864324543987. The next prime is 2864324544007. The reversal of 2864324544000 is 4454234682.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864324544007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209849176 + ... + 209862824.

It is an arithmetic number, because the mean of its divisors is an integer number (29789294535).

Almost surely, 2^{2864324544000} is an apocalyptic number.

2864324544000 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 2864324544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766287125600).

2864324544000 is an abundant number, since it is smaller than the sum of its proper divisors (6668249707200).

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

2864324544000 is a wasteful number, since it uses less digits than its factorization.

2864324544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14778 (or 14752 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

Adding to 2864324544000 its reverse (4454234682), we get a palindrome (2868778778682).

The spelling of 2864324544000 in words is "two trillion, eight hundred sixty-four billion, three hundred twenty-four million, five hundred forty-four thousand".