2404075438080 has 1176 divisors, whose sum is σ = 9407131520472. Its totient is φ = 587068342272.

The previous prime is 2404075438007. The next prime is 2404075438087. The reversal of 2404075438080 is 808345704042.

It is a happy number.

2404075438080 is a `hidden beast` number, since 2 + 40 + 407 + 54 + 3 + 80 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 990677827584 + 1413397610496 = 995328^2 + 1188864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404075438087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 64975011822 + ... + 64975011858.

It is an arithmetic number, because the mean of its divisors is an integer number (7999261497).

Almost surely, 2^{2404075438080} is an apocalyptic number.

2404075438080 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 2404075438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703565760236).

2404075438080 is an abundant number, since it is smaller than the sum of its proper divisors (7003056082392).

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

2404075438080 is an frugal number, since it uses more digits than its factorization.

2404075438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2404075438080 in words is "two trillion, four hundred four billion, seventy-five million, four hundred thirty-eight thousand, eighty".