2404745509248 has 192 divisors, whose sum is σ = 7232833651680. Its totient is φ = 765449625600.

The previous prime is 2404745509217. The next prime is 2404745509259. The reversal of 2404745509248 is 8429055474042.

2404745509248 is a `hidden beast` number, since 2 + 4 + 0 + 47 + 4 + 550 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2404745509194 and 2404745509203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15848590 + ... + 15999602.

Almost surely, 2^{2404745509248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404745509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616416825840).

2404745509248 is an abundant number, since it is smaller than the sum of its proper divisors (4828088142432).

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

2404745509248 is a wasteful number, since it uses less digits than its factorization.

2404745509248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151657 (or 151642 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 2404745509248 in words is "two trillion, four hundred four billion, seven hundred forty-five million, five hundred nine thousand, two hundred forty-eight".