2210400241 has 12 divisors (see below), whose sum is σ = 2633998500. Its totient is φ = 1848416640.

The previous prime is 2210400229. The next prime is 2210400259. The reversal of 2210400241 is 1420040122.

It can be written as a sum of positive squares in 2 ways, for example, as 651729841 + 1558670400 = 25529^2 + 39480^2 .

It is not a de Polignac number, because 2210400241 - 2⁹ = 2210399729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2210400281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548116 + ... + 552133.

It is an arithmetic number, because the mean of its divisors is an integer number (219499875).

Almost surely, 2^2210400241 is an apocalyptic number.

It is an amenable number.

2210400241 is a deficient number, since it is larger than the sum of its proper divisors (423598259).

2210400241 is a wasteful number, since it uses less digits than its factorization.

2210400241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100304 (or 1100297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2210400241 is about 47014.8938210010. The cubic root of 2210400241 is about 1302.6376900894.

Adding to 2210400241 its reverse (1420040122), we get a palindrome (3630440363).

The spelling of 2210400241 in words is "two billion, two hundred ten million, four hundred thousand, two hundred forty-one".