2954878488576 has 351 divisors, whose sum is σ = 9936556660251. Its totient is φ = 843590909952.

The previous prime is 2954878488571. The next prime is 2954878488587. The reversal of 2954878488576 is 6758848784592.

The square root of 2954878488576 is 1718976.

It is a perfect power (a square), and thus also a powerful number.

2954878488576 is a `hidden beast` number, since 2 + 9 + 5 + 4 + 87 + 8 + 488 + 57 + 6 = 666.

2954878488576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2954878488495 and 2954878488504.

It is not an unprimeable number, because it can be changed into a prime (2954878488571) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2310303105 + ... + 2310304383.

Almost surely, 2^{2954878488576} is an apocalyptic number.

2954878488576 is the 1718976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2954878488576

2954878488576 is an abundant number, since it is smaller than the sum of its proper divisors (6981678171675).

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

2954878488576 is an frugal number, since it uses more digits than its factorization.

2954878488576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 1291 counting only the distinct ones).

The product of its digits is 8670412800, while the sum is 81.

Multiplying 2954878488576 by its sum of digits (81), we get a square (239345157574656 = 15470784²).

The spelling of 2954878488576 in words is "two trillion, nine hundred fifty-four billion, eight hundred seventy-eight million, four hundred eighty-eight thousand, five hundred seventy-six".