2413234320 has 240 divisors, whose sum is σ = 9215088768. Its totient is φ = 519106560.

The previous prime is 2413234253. The next prime is 2413234321. The reversal of 2413234320 is 234323142.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413234321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193885 + ... + 205955.

Almost surely, 2^2413234320 is an apocalyptic number.

2413234320 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 2413234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607544384).

2413234320 is an abundant number, since it is smaller than the sum of its proper divisors (6801854448).

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

2413234320 is a wasteful number, since it uses less digits than its factorization.

2413234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12118 (or 12105 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2413234320 is about 49124.6813730125. The cubic root of 2413234320 is about 1341.3223598746.

Adding to 2413234320 its reverse (234323142), we get a palindrome (2647557462).

The spelling of 2413234320 in words is "two billion, four hundred thirteen million, two hundred thirty-four thousand, three hundred twenty".