3024130440 has 128 divisors (see below), whose sum is σ = 9879408000. Its totient is φ = 737630208.

The previous prime is 3024130423. The next prime is 3024130453. The reversal of 3024130440 is 440314203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43252 + ... + 88988.

It is an arithmetic number, because the mean of its divisors is an integer number (77182875).

Almost surely, 2^3024130440 is an apocalyptic number.

3024130440 is a gapful number since it is divisible by the number (30) 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 3024130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939704000).

3024130440 is an abundant number, since it is smaller than the sum of its proper divisors (6855277560).

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

3024130440 is a wasteful number, since it uses less digits than its factorization.

3024130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45799 (or 45795 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3024130440 is about 54992.0943409141. The cubic root of 3024130440 is about 1446.1061504652.

Adding to 3024130440 its reverse (440314203), we get a palindrome (3464444643).

It can be divided in two parts, 3024130 and 440, that added together give a triangular number (3024570 = T₂₄₅₉).

The spelling of 3024130440 in words is "three billion, twenty-four million, one hundred thirty thousand, four hundred forty".