2863131264 has 384 divisors, whose sum is σ = 10081843200. Its totient is φ = 762144768.

The previous prime is 2863131259. The next prime is 2863131277. The reversal of 2863131264 is 4621313682.

2863131264 is a `hidden beast` number, since 2 + 8 + 631 + 3 + 12 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7975117 + ... + 7975475.

It is an arithmetic number, because the mean of its divisors is an integer number (26254800).

Almost surely, 2^2863131264 is an apocalyptic number.

2863131264 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 2863131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040921600).

2863131264 is an abundant number, since it is smaller than the sum of its proper divisors (7218711936).

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

2863131264 is a wasteful number, since it uses less digits than its factorization.

2863131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2863131264 is about 53508.2354782888. The cubic root of 2863131264 is about 1419.9740893242.

It can be divided in two parts, 28631 and 31264, that added together give a palindrome (59895).

The spelling of 2863131264 in words is "two billion, eight hundred sixty-three million, one hundred thirty-one thousand, two hundred sixty-four".