2137580041 has 2 divisors, whose sum is σ = 2137580042. Its totient is φ = 2137580040.

The previous prime is 2137579987. The next prime is 2137580057. The reversal of 2137580041 is 1400857312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2108646400 + 28933641 = 45920^2 + 5379^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137580041 - 2¹⁵ = 2137547273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2137579985 and 2137580012.

It is not a weakly prime, because it can be changed into another prime (2137500041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068790020 + 1068790021.

It is an arithmetic number, because the mean of its divisors is an integer number (1068790021).

Almost surely, 2^2137580041 is an apocalyptic number.

It is an amenable number.

2137580041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137580041 is an equidigital number, since it uses as much as digits as its factorization.

2137580041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2137580041 is about 46233.9706384818. The cubic root of 2137580041 is about 1288.1728114594.

The spelling of 2137580041 in words is "two billion, one hundred thirty-seven million, five hundred eighty thousand, forty-one".