2912667648 has 192 divisors, whose sum is σ = 8604610560. Its totient is φ = 868761600.

The previous prime is 2912667631. The next prime is 2912667677. The reversal of 2912667648 is 8467662192.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2912667648.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4798161 + ... + 4798767.

It is an arithmetic number, because the mean of its divisors is an integer number (44815680).

Almost surely, 2^2912667648 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 2912667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2912667648 is an abundant number, since it is smaller than the sum of its proper divisors (5691942912).

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

2912667648 is a wasteful number, since it uses less digits than its factorization.

2912667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 694 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 2912667648 is about 53969.1360686828. The cubic root of 2912667648 is about 1428.1165233792.

The spelling of 2912667648 in words is "two billion, nine hundred twelve million, six hundred sixty-seven thousand, six hundred forty-eight".