2004424040240 has 80 divisors (see below), whose sum is σ = 4745988924768. Its totient is φ = 787106715648.

The previous prime is 2004424040239. The next prime is 2004424040249. The reversal of 2004424040240 is 420404244002.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2004424040249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932324 + ... + 2208636.

Almost surely, 2^{2004424040240} is an apocalyptic number.

2004424040240 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 2004424040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372994462384).

2004424040240 is an abundant number, since it is smaller than the sum of its proper divisors (2741564884528).

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

2004424040240 is a wasteful number, since it uses less digits than its factorization.

2004424040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276686 (or 1276680 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2004424040240 its reverse (420404244002), we get a palindrome (2424828284242).

The spelling of 2004424040240 in words is "two trillion, four billion, four hundred twenty-four million, forty thousand, two hundred forty".