2400164521 has 2 divisors, whose sum is σ = 2400164522. Its totient is φ = 2400164520.

The previous prime is 2400164483. The next prime is 2400164527. The reversal of 2400164521 is 1254610042.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1571012496 + 829152025 = 39636^2 + 28795^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400164521 - 2⁹ = 2400164009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2400164527) 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, 1200082260 + 1200082261.

It is an arithmetic number, because the mean of its divisors is an integer number (1200082261).

Almost surely, 2^2400164521 is an apocalyptic number.

It is an amenable number.

2400164521 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400164521 is an equidigital number, since it uses as much as digits as its factorization.

2400164521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2400164521 is about 48991.4739623131. The cubic root of 2400164521 is about 1338.8964927371.

Adding to 2400164521 its reverse (1254610042), we get a palindrome (3654774563).

The spelling of 2400164521 in words is "two billion, four hundred million, one hundred sixty-four thousand, five hundred twenty-one".