2980149668721 has 81 divisors (see below), whose sum is σ = 4558809448011. Its totient is φ = 1875850964064.

The previous prime is 2980149668653. The next prime is 2980149668731. The reversal of 2980149668721 is 1278669410892.

The square root of 2980149668721 is 1726311.

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

2980149668721 is a `hidden beast` number, since 2 + 9 + 80 + 1 + 496 + 68 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2919946176225 + 60203492496 = 1708785^2 + 245364^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2980149668721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2980149668731) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15127663195 + ... + 15127663391.

Almost surely, 2^{2980149668721} is an apocalyptic number.

2980149668721 is the 1726311-st square number.

2980149668721 is the 863156-th centered octagonal number.

It is an amenable number.

2980149668721 is a deficient number, since it is larger than the sum of its proper divisors (1578659779290).

2980149668721 is an equidigital number, since it uses as much as digits as its factorization.

2980149668721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 2980149668721 in words is "two trillion, nine hundred eighty billion, one hundred forty-nine million, six hundred sixty-eight thousand, seven hundred twenty-one".