2413264320 has 224 divisors, whose sum is σ = 8744712000. Its totient is φ = 626061312.

The previous prime is 2413264307. The next prime is 2413264331. The reversal of 2413264320 is 234623142.

2413264320 is a `hidden beast` number, since 2 + 4 + 13 + 2 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 315906 + ... + 323454.

Almost surely, 2^2413264320 is an apocalyptic number.

2413264320 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 2413264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372356000).

2413264320 is an abundant number, since it is smaller than the sum of its proper divisors (6331447680).

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

2413264320 is a wasteful number, since it uses less digits than its factorization.

2413264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2413264320 is about 49124.9867175555. The cubic root of 2413264320 is about 1341.3279180452.

Adding to 2413264320 its reverse (234623142), we get a palindrome (2647887462).

The spelling of 2413264320 in words is "two billion, four hundred thirteen million, two hundred sixty-four thousand, three hundred twenty".