2997829067776 has 99 divisors (see below), whose sum is σ = 6099459064257. Its totient is φ = 1472679997440.

The previous prime is 2997829067771. The next prime is 2997829067903. The reversal of 2997829067776 is 6777609287992.

The square root of 2997829067776 is 1731424.

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

It can be written as a sum of positive squares in only one way, i.e., 97483826176 + 2900345241600 = 312224^2 + 1703040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2997829067696 and 2997829067705.

It is not an unprimeable number, because it can be changed into a prime (2997829067771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3379739205 + ... + 3379740091.

Almost surely, 2^{2997829067776} is an apocalyptic number.

2997829067776 is the 1731424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2997829067776

2997829067776 is an abundant number, since it is smaller than the sum of its proper divisors (3101629996481).

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

2997829067776 is an frugal number, since it uses more digits than its factorization.

2997829067776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 2016379008, while the sum is 79.

The spelling of 2997829067776 in words is "two trillion, nine hundred ninety-seven billion, eight hundred twenty-nine million, sixty-seven thousand, seven hundred seventy-six".