2413112320 has 88 divisors (see below), whose sum is σ = 5806340064. Its totient is φ = 962297856.

The previous prime is 2413112293. The next prime is 2413112333. The reversal of 2413112320 is 232113142.

It is a happy number.

It is a super-2 number, since 2×2413112320² = 11646222137871564800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2574892 + ... + 2575828.

Almost surely, 2^2413112320 is an apocalyptic number.

2413112320 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 2413112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903170032).

2413112320 is an abundant number, since it is smaller than the sum of its proper divisors (3393227744).

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

2413112320 is an equidigital number, since it uses as much as digits as its factorization.

2413112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2413112320 is about 49123.4396189843. The cubic root of 2413112320 is about 1341.2997561730.

Adding to 2413112320 its reverse (232113142), we get a palindrome (2645225462).

The spelling of 2413112320 in words is "two billion, four hundred thirteen million, one hundred twelve thousand, three hundred twenty".