2327197824 has 512 divisors, whose sum is σ = 8499456000. Its totient is φ = 612126720.

The previous prime is 2327197811. The next prime is 2327197849. The reversal of 2327197824 is 4287917232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2327197824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28038487 + ... + 28038569.

It is an arithmetic number, because the mean of its divisors is an integer number (16600500).

Almost surely, 2^2327197824 is an apocalyptic number.

2327197824 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 2327197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728000).

2327197824 is an abundant number, since it is smaller than the sum of its proper divisors (6172258176).

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

2327197824 is a wasteful number, since it uses less digits than its factorization.

2327197824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2327197824 is about 48241.0387947855. The cubic root of 2327197824 is about 1325.1888325153.

The spelling of 2327197824 in words is "two billion, three hundred twenty-seven million, one hundred ninety-seven thousand, eight hundred twenty-four".