2432042304 has 224 divisors, whose sum is σ = 7064288640. Its totient is φ = 735510528.

The previous prime is 2432042293. The next prime is 2432042317. The reversal of 2432042304 is 4032402342.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14057962 + ... + 14058134.

Almost surely, 2^2432042304 is an apocalyptic number.

2432042304 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 2432042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532144320).

2432042304 is an abundant number, since it is smaller than the sum of its proper divisors (4632246336).

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

2432042304 is a wasteful number, since it uses less digits than its factorization.

2432042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2432042304 is about 49315.7409353241. The cubic root of 2432042304 is about 1344.7979600980.

Adding to 2432042304 its reverse (4032402342), we get a palindrome (6464444646).

The spelling of 2432042304 in words is "two billion, four hundred thirty-two million, forty-two thousand, three hundred four".