2948927855616 has 880 divisors, whose sum is σ = 9861192253440. Its totient is φ = 872969011200.

The previous prime is 2948927855563. The next prime is 2948927855647. The reversal of 2948927855616 is 6165587298492.

2948927855616 is a `hidden beast` number, since 2 + 9 + 48 + 9 + 27 + 8 + 556 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 2562056641 + ... + 2562057791.

It is an arithmetic number, because the mean of its divisors is an integer number (11205900288).

Almost surely, 2^{2948927855616} 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 2948927855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930596126720).

2948927855616 is an abundant number, since it is smaller than the sum of its proper divisors (6912264397824).

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

2948927855616 is a wasteful number, since it uses less digits than its factorization.

2948927855616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1275 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 2948927855616 in words is "two trillion, nine hundred forty-eight billion, nine hundred twenty-seven million, eight hundred fifty-five thousand, six hundred sixteen".