2824581264 has 40 divisors (see below), whose sum is σ = 7328727360. Its totient is φ = 937411968.

The previous prime is 2824581233. The next prime is 2824581269. The reversal of 2824581264 is 4621854282.

It is not an unprimeable number, because it can be changed into a prime (2824581269) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 117492 + ... + 139475.

It is an arithmetic number, because the mean of its divisors is an integer number (183218184).

Almost surely, 2^2824581264 is an apocalyptic number.

2824581264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2824581264 is an abundant number, since it is smaller than the sum of its proper divisors (4504146096).

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

2824581264 is a wasteful number, since it uses less digits than its factorization.

2824581264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257207 (or 257201 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 2824581264 is about 53146.7897807572. The cubic root of 2824581264 is about 1413.5722948467.

The spelling of 2824581264 in words is "two billion, eight hundred twenty-four million, five hundred eighty-one thousand, two hundred sixty-four".