2404442212000 has 384 divisors, whose sum is σ = 6271130750976. Its totient is φ = 904550400000.

The previous prime is 2404442211989. The next prime is 2404442212057. The reversal of 2404442212000 is 2122444042.

2404442212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1591291245 + ... + 1591292755.

It is an arithmetic number, because the mean of its divisors is an integer number (16331069664).

Almost surely, 2^{2404442212000} is an apocalyptic number.

2404442212000 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 2404442212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135565375488).

2404442212000 is an abundant number, since it is smaller than the sum of its proper divisors (3866688538976).

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

2404442212000 is a wasteful number, since it uses less digits than its factorization.

2404442212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2404442212000 its reverse (2122444042), we get a palindrome (2406564656042).

The spelling of 2404442212000 in words is "two trillion, four hundred four billion, four hundred forty-two million, two hundred twelve thousand".