2981005980481 has 9 divisors (see below), whose sum is σ = 2997880895523. Its totient is φ = 2964225553560.

The previous prime is 2981005980451. The next prime is 2981005980521. The reversal of 2981005980481 is 1840895001892.

The square root of 2981005980481 is 1726559.

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., 32848300081 + 2948157680400 = 181241^2 + 1717020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2981005980481 is a prime.

It is a super-2 number, since 2×2981005980481² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2981005980451) 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, 312502410 + ... + 312511948.

Almost surely, 2^{2981005980481} is an apocalyptic number.

2981005980481 is the 1726559-th square number.

2981005980481 is the 863280-th centered octagonal number.

It is an amenable number.

2981005980481 is a deficient number, since it is larger than the sum of its proper divisors (16874915042).

2981005980481 is an frugal number, since it uses more digits than its factorization.

2981005980481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19440 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 55.

The spelling of 2981005980481 in words is "two trillion, nine hundred eighty-one billion, five million, nine hundred eighty thousand, four hundred eighty-one".