2010580721 has 2 divisors, whose sum is σ = 2010580722. Its totient is φ = 2010580720.

The previous prime is 2010580697. The next prime is 2010580723. The reversal of 2010580721 is 1270850102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1269924496 + 740656225 = 35636^2 + 27215^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010580721 - 2³⁰ = 936838897 is a prime.

Together with 2010580723, 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 (2010580723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005290360 + 1005290361.

It is an arithmetic number, because the mean of its divisors is an integer number (1005290361).

Almost surely, 2^2010580721 is an apocalyptic number.

It is an amenable number.

2010580721 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010580721 is an equidigital number, since it uses as much as digits as its factorization.

2010580721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 2010580721 is about 44839.4995623279. The cubic root of 2010580721 is about 1262.1389554926.

The spelling of 2010580721 in words is "two billion, ten million, five hundred eighty thousand, seven hundred twenty-one".