2948989174560 has 1008 divisors, whose sum is σ = 12365611631352. Its totient is φ = 659872604160.

The previous prime is 2948989174511. The next prime is 2948989174577. The reversal of 2948989174560 is 654719898492.

2948989174560 is a `hidden beast` number, since 2 + 9 + 4 + 89 + 8 + 91 + 7 + 456 + 0 = 666.

2948989174560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1336160293776 + 1612828880784 = 1155924^2 + 1269972^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 183466684 + ... + 183482756.

Almost surely, 2^{2948989174560} is an apocalyptic number.

2948989174560 is a gapful number since it is divisible by the number (20) 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 2948989174560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182805815676).

2948989174560 is an abundant number, since it is smaller than the sum of its proper divisors (9416622456792).

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

2948989174560 is a wasteful number, since it uses less digits than its factorization.

2948989174560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16141 (or 16107 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 2948989174560 in words is "two trillion, nine hundred forty-eight billion, nine hundred eighty-nine million, one hundred seventy-four thousand, five hundred sixty".