2413424520 has 192 divisors, whose sum is σ = 8506134000. Its totient is φ = 589916160.

The previous prime is 2413424513. The next prime is 2413424527. The reversal of 2413424520 is 254243142.

2413424520 is a `hidden beast` number, since 2 + 4 + 134 + 2 + 4 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2413424513) and next prime (2413424527).

It can be written as a sum of positive squares in 8 ways, for example, as 46212804 + 2367211716 = 6798^2 + 48654^2 .

It is not an unprimeable number, because it can be changed into a prime (2413424527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 695590 + ... + 699050.

Almost surely, 2^2413424520 is an apocalyptic number.

2413424520 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 2413424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253067000).

2413424520 is an abundant number, since it is smaller than the sum of its proper divisors (6092709480).

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

2413424520 is a wasteful number, since it uses less digits than its factorization.

2413424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2413424520 is about 49126.6172252884. The cubic root of 2413424520 is about 1341.3575978964.

Adding to 2413424520 its reverse (254243142), we get a palindrome (2667667662).

The spelling of 2413424520 in words is "two billion, four hundred thirteen million, four hundred twenty-four thousand, five hundred twenty".