2415413320 has 32 divisors (see below), whose sum is σ = 5567236920. Its totient is φ = 942599680.

The previous prime is 2415413311. The next prime is 2415413321. The reversal of 2415413320 is 233145142.

It can be written as a sum of positive squares in 4 ways, for example, as 2075895844 + 339517476 = 45562^2 + 18426^2 .

It is not an unprimeable number, because it can be changed into a prime (2415413321) 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, 734767 + ... + 738046.

Almost surely, 2^2415413320 is an apocalyptic number.

2415413320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2415413320 is an abundant number, since it is smaller than the sum of its proper divisors (3151823600).

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

2415413320 is a wasteful number, since it uses less digits than its factorization.

2415413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472865 (or 1472861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2415413320 is about 49146.8546297726. The cubic root of 2415413320 is about 1341.7259485570.

Adding to 2415413320 its reverse (233145142), we get a palindrome (2648558462).

The spelling of 2415413320 in words is "two billion, four hundred fifteen million, four hundred thirteen thousand, three hundred twenty".