2404704337728 has 672 divisors, whose sum is σ = 8293962055680. Its totient is φ = 601176576000.

The previous prime is 2404704337727. The next prime is 2404704337771. The reversal of 2404704337728 is 8277334074042.

2404704337728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404704337727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2089229953 + ... + 2089231103.

It is an arithmetic number, because the mean of its divisors is an integer number (12342205440).

Almost surely, 2^{2404704337728} is an apocalyptic number.

2404704337728 is a gapful number since it is divisible by the number (28) 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 2404704337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146981027840).

2404704337728 is an abundant number, since it is smaller than the sum of its proper divisors (5889257717952).

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

2404704337728 is a wasteful number, since it uses less digits than its factorization.

2404704337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 51.

The spelling of 2404704337728 in words is "two trillion, four hundred four billion, seven hundred four million, three hundred thirty-seven thousand, seven hundred twenty-eight".