2864637216 has 288 divisors, whose sum is σ = 9717926400. Its totient is φ = 799755264.

The previous prime is 2864637203. The next prime is 2864637233. The reversal of 2864637216 is 6127364682.

2864637216 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 637 + 2 + 1 + 6 = 666.

2864637216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2864637216² = 16412292758584461312, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4642540 + ... + 4643156.

It is an arithmetic number, because the mean of its divisors is an integer number (33742800).

Almost surely, 2^2864637216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2864637216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858963200).

2864637216 is an abundant number, since it is smaller than the sum of its proper divisors (6853289184).

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

2864637216 is a wasteful number, since it uses less digits than its factorization.

2864637216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 676 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2864637216 is about 53522.3057799269. The cubic root of 2864637216 is about 1420.2230053781.

The spelling of 2864637216 in words is "two billion, eight hundred sixty-four million, six hundred thirty-seven thousand, two hundred sixteen".