2424026240 has 64 divisors (see below), whose sum is σ = 5806478520. Its totient is φ = 967680000.

The previous prime is 2424026233. The next prime is 2424026249. The reversal of 2424026240 is 426204242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1752594496 + 671431744 = 41864^2 + 25912^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2424026249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342740 + ... + 349740.

Almost surely, 2^2424026240 is an apocalyptic number.

2424026240 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 2424026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903239260).

2424026240 is an abundant number, since it is smaller than the sum of its proper divisors (3382452280).

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

2424026240 is an equidigital number, since it uses as much as digits as its factorization.

2424026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7549 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2424026240 is about 49234.4009814276. The cubic root of 2424026240 is about 1343.3188394536.

The spelling of 2424026240 in words is "two billion, four hundred twenty-four million, twenty-six thousand, two hundred forty".