2947248329088 has 256 divisors, whose sum is σ = 9225007165440. Its totient is φ = 816205178880.

The previous prime is 2947248329059. The next prime is 2947248329239. The reversal of 2947248329088 is 8809238427492.

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 31 ways as a sum of consecutive naturals, for example, 15044181 + ... + 15238827.

It is an arithmetic number, because the mean of its divisors is an integer number (36035184240).

Almost surely, 2^{2947248329088} is an apocalyptic number.

2947248329088 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 2947248329088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612503582720).

2947248329088 is an abundant number, since it is smaller than the sum of its proper divisors (6277758836352).

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

2947248329088 is a wasteful number, since it uses less digits than its factorization.

2947248329088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194845 (or 194833 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 2947248329088 in words is "two trillion, nine hundred forty-seven billion, two hundred forty-eight million, three hundred twenty-nine thousand, eighty-eight".