3005008249248 has 768 divisors, whose sum is σ = 9807557760000. Its totient is φ = 891751956480.

The previous prime is 3005008249231. The next prime is 3005008249249. The reversal of 3005008249248 is 8429428005003.

3005008249248 is a `hidden beast` number, since 3 + 0 + 0 + 500 + 82 + 49 + 24 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3005008249249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2102874198 + ... + 2102875626.

It is an arithmetic number, because the mean of its divisors is an integer number (12770257500).

Almost surely, 2^{3005008249248} 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 3005008249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903778880000).

3005008249248 is an abundant number, since it is smaller than the sum of its proper divisors (6802549510752).

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

3005008249248 is a wasteful number, since it uses less digits than its factorization.

3005008249248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3005008249248 in words is "three trillion, five billion, eight million, two hundred forty-nine thousand, two hundred forty-eight".