2048980961 has 2 divisors, whose sum is σ = 2048980962. Its totient is φ = 2048980960.

The previous prime is 2048980951. The next prime is 2048980963. The reversal of 2048980961 is 1690898402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1636687936 + 412293025 = 40456^2 + 20305^2 .

It is a cyclic number.

It is not a de Polignac number, because 2048980961 - 2⁶ = 2048980897 is a prime.

Together with 2048980963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2048980963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1024490480 + 1024490481.

It is an arithmetic number, because the mean of its divisors is an integer number (1024490481).

Almost surely, 2^2048980961 is an apocalyptic number.

It is an amenable number.

2048980961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2048980961 is an equidigital number, since it uses as much as digits as its factorization.

2048980961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 2048980961 is about 45265.6708886547. The cubic root of 2048980961 is about 1270.1235668308.

The spelling of 2048980961 in words is "two billion, forty-eight million, nine hundred eighty thousand, nine hundred sixty-one".