2948339958564 has 576 divisors, whose sum is σ = 9711527519232. Its totient is φ = 683912678400.

The previous prime is 2948339958559. The next prime is 2948339958583. The reversal of 2948339958564 is 4658599338492.

It is a super-2 number, since 2×2948339958564² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 386866674 + ... + 386874294.

It is an arithmetic number, because the mean of its divisors is an integer number (16860290832).

Almost surely, 2^{2948339958564} 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 2948339958564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855763759616).

2948339958564 is an abundant number, since it is smaller than the sum of its proper divisors (6763187560668).

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

2948339958564 is a wasteful number, since it uses less digits than its factorization.

2948339958564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7807 counting only the distinct ones).

The product of its digits is 2015539200, while the sum is 75.

The spelling of 2948339958564 in words is "two trillion, nine hundred forty-eight billion, three hundred thirty-nine million, nine hundred fifty-eight thousand, five hundred sixty-four".