2863959264 has 288 divisors, whose sum is σ = 9319302720. Its totient is φ = 828850176.

The previous prime is 2863959233. The next prime is 2863959299. The reversal of 2863959264 is 4629593682.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2863959264.

It is a congruent number.

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, 3265194 + ... + 3266070.

It is an arithmetic number, because the mean of its divisors is an integer number (32358690).

Almost surely, 2^2863959264 is an apocalyptic number.

2863959264 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 2863959264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659651360).

2863959264 is an abundant number, since it is smaller than the sum of its proper divisors (6455343456).

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

2863959264 is a wasteful number, since it uses less digits than its factorization.

2863959264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 951 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2863959264 is about 53515.9720457360. The cubic root of 2863959264 is about 1420.1109587301.

The spelling of 2863959264 in words is "two billion, eight hundred sixty-three million, nine hundred fifty-nine thousand, two hundred sixty-four".