3024242064 has 240 divisors, whose sum is σ = 9304908912. Its totient is φ = 913047552.

The previous prime is 3024242051. The next prime is 3024242069. The reversal of 3024242064 is 4602424203.

3024242064 is a `hidden beast` number, since 30 + 2 + 424 + 206 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 644753664 + 2379488400 = 25392^2 + 48780^2 .

It is not an unprimeable number, because it can be changed into a prime (3024242069) 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 47 ways as a sum of consecutive naturals, for example, 15669552 + ... + 15669744.

Almost surely, 2^3024242064 is an apocalyptic number.

3024242064 is a gapful number since it is divisible by the number (34) 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 3024242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652454456).

3024242064 is an abundant number, since it is smaller than the sum of its proper divisors (6280666848).

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

3024242064 is a wasteful number, since it uses less digits than its factorization.

3024242064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3024242064 is about 54993.1092410676. The cubic root of 3024242064 is about 1446.1239427056.

Adding to 3024242064 its reverse (4602424203), we get a palindrome (7626666267).

The spelling of 3024242064 in words is "three billion, twenty-four million, two hundred forty-two thousand, sixty-four".