2424242340 has 72 divisors (see below), whose sum is σ = 7919199288. Its totient is φ = 596736000.

The previous prime is 2424242339. The next prime is 2424242341. The reversal of 2424242340 is 432424242.

2424242340 is a `hidden beast` number, since 2 + 4 + 2 + 424 + 234 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2424242339) and next prime (2424242341).

It can be written as a sum of positive squares in 4 ways, for example, as 448084224 + 1976158116 = 21168^2 + 44454^2 .

It is not an unprimeable number, because it can be changed into a prime (2424242341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515661 + ... + 520340.

It is an arithmetic number, because the mean of its divisors is an integer number (109988879).

Almost surely, 2^2424242340 is an apocalyptic number.

2424242340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424242340 is an abundant number, since it is smaller than the sum of its proper divisors (5494956948).

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

2424242340 is a wasteful number, since it uses less digits than its factorization.

2424242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036029 (or 1036024 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2424242340 is about 49236.5955362472. The cubic root of 2424242340 is about 1343.3587568674.

Adding to 2424242340 its reverse (432424242), we get a palindrome (2856666582).

The spelling of 2424242340 in words is "two billion, four hundred twenty-four million, two hundred forty-two thousand, three hundred forty".