2430884416 has 21 divisors (see below), whose sum is σ = 4824569091. Its totient is φ = 1215244992.

The previous prime is 2430884411. The next prime is 2430884479. The reversal of 2430884416 is 6144880342.

It is a happy number.

The square root of 2430884416 is 49304.

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

It is a super-2 number, since 2×2430884416² = 11818398087903322112, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2430884411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 391351 + ... + 397513.

Almost surely, 2^2430884416 is an apocalyptic number.

2430884416 is the 49304-th square number.

It is an amenable number.

2430884416 is a deficient number, since it is larger than the sum of its proper divisors (2393684675).

2430884416 is an frugal number, since it uses more digits than its factorization.

2430884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12338 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The cubic root of 2430884416 is about 1344.5845081366.

Multiplying 2430884416 by its product of nonzero digits (147456), we get a square (358448492445696 = 18932736²).

The spelling of 2430884416 in words is "two billion, four hundred thirty million, eight hundred eighty-four thousand, four hundred sixteen".