2405144032 has 48 divisors (see below), whose sum is σ = 4996252800. Its totient is φ = 1136557440.

The previous prime is 2405144023. The next prime is 2405144033. The reversal of 2405144032 is 2304415042.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2405143988 and 2405144006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405144033) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 262407 + ... + 271417.

It is an arithmetic number, because the mean of its divisors is an integer number (104088600).

Almost surely, 2^2405144032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2405144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498126400).

2405144032 is an abundant number, since it is smaller than the sum of its proper divisors (2591108768).

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

2405144032 is a wasteful number, since it uses less digits than its factorization.

2405144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9479 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2405144032 is about 49042.2678105326. The cubic root of 2405144032 is about 1339.8217688247.

Adding to 2405144032 its reverse (2304415042), we get a palindrome (4709559074).

The spelling of 2405144032 in words is "two billion, four hundred five million, one hundred forty-four thousand, thirty-two".