2424520000 has 210 divisors, whose sum is σ = 6999229842. Its totient is φ = 830592000.

The previous prime is 2424519989. The next prime is 2424520037. The reversal of 2424520000 is 254242.

It can be written as a sum of positive squares in 5 ways, for example, as 646379776 + 1778140224 = 25424^2 + 42168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2424520000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1959382 + ... + 1960618.

Almost surely, 2^2424520000 is an apocalyptic number.

2424520000 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 2424520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499614921).

2424520000 is an abundant number, since it is smaller than the sum of its proper divisors (4574709842).

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

2424520000 is an equidigital number, since it uses as much as digits as its factorization.

2424520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2424520000 is about 49239.4151061931. The cubic root of 2424520000 is about 1343.4100419977.

Adding to 2424520000 its reverse (254242), we get a palindrome (2424774242).

The spelling of 2424520000 in words is "two billion, four hundred twenty-four million, five hundred twenty thousand".