2405450240 has 80 divisors (see below), whose sum is σ = 5966504280. Its totient is φ = 928972800.

The previous prime is 2405450233. The next prime is 2405450249. The reversal of 2405450240 is 420545042.

It can be written as a sum of positive squares in 4 ways, for example, as 2395515136 + 9935104 = 48944^2 + 3152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2405450249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58040 + ... + 90440.

Almost surely, 2^2405450240 is an apocalyptic number.

2405450240 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 2405450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983252140).

2405450240 is an abundant number, since it is smaller than the sum of its proper divisors (3561054040).

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

2405450240 is an equidigital number, since it uses as much as digits as its factorization.

2405450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32453 (or 32437 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 2405450240 is about 49045.3895896444. The cubic root of 2405450240 is about 1339.8786256739.

Adding to 2405450240 its reverse (420545042), we get a palindrome (2825995282).

The spelling of 2405450240 in words is "two billion, four hundred five million, four hundred fifty thousand, two hundred forty".