2432024140 has 96 divisors (see below), whose sum is σ = 6559257600. Its totient is φ = 736217856.

The previous prime is 2432024123. The next prime is 2432024159. The reversal of 2432024140 is 414202342.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12811 + ... + 70909.

It is an arithmetic number, because the mean of its divisors is an integer number (68325600).

Almost surely, 2^2432024140 is an apocalyptic number.

2432024140 is a gapful number since it is divisible by the number (20) 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 2432024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279628800).

2432024140 is an abundant number, since it is smaller than the sum of its proper divisors (4127233460).

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

2432024140 is a wasteful number, since it uses less digits than its factorization.

2432024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58151 (or 58149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2432024140 is about 49315.5567747136. The cubic root of 2432024140 is about 1344.7946121614.

Adding to 2432024140 its reverse (414202342), we get a palindrome (2846226482).

The spelling of 2432024140 in words is "two billion, four hundred thirty-two million, twenty-four thousand, one hundred forty".