2824284736 has 189 divisors, whose sum is σ = 7157554011. Its totient is φ = 1101993984.

The previous prime is 2824284731. The next prime is 2824284739. The reversal of 2824284736 is 6374824282.

The square root of 2824284736 is 53144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 284124736 + 2540160000 = 16856^2 + 50400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2824284731) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38688796 + ... + 38688868.

Almost surely, 2^2824284736 is an apocalyptic number.

2824284736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2824284736 is the 53144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2824284736

2824284736 is an abundant number, since it is smaller than the sum of its proper divisors (4333269275).

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

2824284736 is an equidigital number, since it uses as much as digits as its factorization.

2824284736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 95 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The cubic root of 2824284736 is about 1413.5228269321.

The spelling of 2824284736 in words is "two billion, eight hundred twenty-four million, two hundred eighty-four thousand, seven hundred thirty-six".