2405420024 has 64 divisors (see below), whose sum is σ = 5312126400. Its totient is φ = 999558144.

The previous prime is 2405420023. The next prime is 2405420047. The reversal of 2405420024 is 4200245042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405420023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646682 + ... + 650390.

It is an arithmetic number, because the mean of its divisors is an integer number (83001975).

Almost surely, 2^2405420024 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 2405420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656063200).

2405420024 is an abundant number, since it is smaller than the sum of its proper divisors (2906706376).

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

2405420024 is a wasteful number, since it uses less digits than its factorization.

2405420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2405420024 is about 49045.0815474906. The cubic root of 2405420024 is about 1339.8730153670.

Adding to 2405420024 its reverse (4200245042), we get a palindrome (6605665066).

The spelling of 2405420024 in words is "two billion, four hundred five million, four hundred twenty thousand, twenty-four".