2864139264 has 220 divisors, whose sum is σ = 9776701264. Its totient is φ = 818159616.

The previous prime is 2864139221. The next prime is 2864139319. The reversal of 2864139264 is 4629314682.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 578142 + ... + 583074.

Almost surely, 2^2864139264 is an apocalyptic number.

2864139264 is a gapful number since it is divisible by the number (24) 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 2864139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888350632).

2864139264 is an abundant number, since it is smaller than the sum of its proper divisors (6912562000).

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

2864139264 is an equidigital number, since it uses as much as digits as its factorization.

2864139264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4945 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2864139264 is about 53517.6537602313. The cubic root of 2864139264 is about 1420.1407094579.

The spelling of 2864139264 in words is "two billion, eight hundred sixty-four million, one hundred thirty-nine thousand, two hundred sixty-four".