2405330304 has 64 divisors (see below), whose sum is σ = 6880646640. Its totient is φ = 740100096.

The previous prime is 2405330303. The next prime is 2405330309. The reversal of 2405330304 is 4030335042.

2405330304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2405330304² = 11571227742681464832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405330303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235927 + ... + 245910.

Almost surely, 2^2405330304 is an apocalyptic number.

2405330304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2405330304 is an abundant number, since it is smaller than the sum of its proper divisors (4475316336).

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

2405330304 is a wasteful number, since it uses less digits than its factorization.

2405330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481867 (or 481855 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2405330304 is about 49044.1668702813. The cubic root of 2405330304 is about 1339.8563564744.

Adding to 2405330304 its reverse (4030335042), we get a palindrome (6435665346).

The spelling of 2405330304 in words is "two billion, four hundred five million, three hundred thirty thousand, three hundred four".