2424004000000 has 504 divisors, whose sum is σ = 6682836333600. Its totient is φ = 870144000000.

The previous prime is 2424003999973. The next prime is 2424004000007. The reversal of 2424004000000 is 4004242.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2424004000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3915999691 + ... + 3916000309.

It is an arithmetic number, because the mean of its divisors is an integer number (13259595900).

Almost surely, 2^{2424004000000} is an apocalyptic number.

2424004000000 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 2424004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341418166800).

2424004000000 is an abundant number, since it is smaller than the sum of its proper divisors (4258832333600).

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

2424004000000 is an frugal number, since it uses more digits than its factorization.

2424004000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2424004000000 its reverse (4004242), we get a palindrome (2424008004242).

The spelling of 2424004000000 in words is "two trillion, four hundred twenty-four billion, four million", and thus it is an aban number.