2010400409 has 2 divisors, whose sum is σ = 2010400410. Its totient is φ = 2010400408.

The previous prime is 2010400387. The next prime is 2010400471. The reversal of 2010400409 is 9040040102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1305232384 + 705168025 = 36128^2 + 26555^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010400409 - 2¹² = 2010396313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010400489) 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, 1005200204 + 1005200205.

It is an arithmetic number, because the mean of its divisors is an integer number (1005200205).

Almost surely, 2^2010400409 is an apocalyptic number.

It is an amenable number.

2010400409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010400409 is an equidigital number, since it uses as much as digits as its factorization.

2010400409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2010400409 is about 44837.4888792849. The cubic root of 2010400409 is about 1262.1012241711.

The spelling of 2010400409 in words is "two billion, ten million, four hundred thousand, four hundred nine".