2404224241104 has 160 divisors (see below), whose sum is σ = 7362134507520. Its totient is φ = 661501564416.

The previous prime is 2404224241087. The next prime is 2404224241109. The reversal of 2404224241104 is 4011424224042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404224241109) 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 31 ways as a sum of consecutive naturals, for example, 3409839 + ... + 4054065.

It is an arithmetic number, because the mean of its divisors is an integer number (46013340672).

Almost surely, 2^{2404224241104} is an apocalyptic number.

2404224241104 is a gapful number since it is divisible by the number (24) 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 2404224241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681067253760).

2404224241104 is an abundant number, since it is smaller than the sum of its proper divisors (4957910266416).

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

2404224241104 is a wasteful number, since it uses less digits than its factorization.

2404224241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644657 (or 644651 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2404224241104 its reverse (4011424224042), we get a palindrome (6415648465146).

The spelling of 2404224241104 in words is "two trillion, four hundred four billion, two hundred twenty-four million, two hundred forty-one thousand, one hundred four".