2403434320 has 180 divisors, whose sum is σ = 6653497140. Its totient is φ = 804959232.

The previous prime is 2403434311. The next prime is 2403434323. The reversal of 2403434320 is 234343042.

2403434320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 653518096 + 1749916224 = 25564^2 + 41832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2403434323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27004836 + ... + 27004924.

It is an arithmetic number, because the mean of its divisors is an integer number (36963873).

Almost surely, 2^2403434320 is an apocalyptic number.

2403434320 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 2403434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326748570).

2403434320 is an abundant number, since it is smaller than the sum of its proper divisors (4250062820).

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

2403434320 is an equidigital number, since it uses as much as digits as its factorization.

2403434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 2403434320 is about 49024.8337070102. The cubic root of 2403434320 is about 1339.5042199477.

Adding to 2403434320 its reverse (234343042), we get a palindrome (2637777362).

The spelling of 2403434320 in words is "two billion, four hundred three million, four hundred thirty-four thousand, three hundred twenty".