2413123320 has 128 divisors (see below), whose sum is σ = 7346707200. Its totient is φ = 634023936.

The previous prime is 2413123319. The next prime is 2413123351. The reversal of 2413123320 is 233213142.

It is a super-4 number, since 4×2413123320⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4411287 + ... + 4411833.

It is an arithmetic number, because the mean of its divisors is an integer number (57396150).

Almost surely, 2^2413123320 is an apocalyptic number.

2413123320 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 2413123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673353600).

2413123320 is an abundant number, since it is smaller than the sum of its proper divisors (4933583880).

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

2413123320 is a wasteful number, since it uses less digits than its factorization.

2413123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2413123320 is about 49123.5515817006. The cubic root of 2413123320 is about 1341.3017942429.

Adding to 2413123320 its reverse (233213142), we get a palindrome (2646336462).

The spelling of 2413123320 in words is "two billion, four hundred thirteen million, one hundred twenty-three thousand, three hundred twenty".