2400213 has 16 divisors (see below), whose sum is σ = 3568320. Its totient is φ = 1426176.

The previous prime is 2400197. The next prime is 2400221. The reversal of 2400213 is 3120042.

It is not a de Polignac number, because 2400213 - 2⁴ = 2400197 is a prime.

It is a super-2 number, since 2×2400213² = 11522044890738, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400253) 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 15 ways as a sum of consecutive naturals, for example, 270 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (223020).

2^2400213 is an apocalyptic number.

It is an amenable number.

2400213 is a deficient number, since it is larger than the sum of its proper divisors (1168107).

2400213 is a wasteful number, since it uses less digits than its factorization.

2400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2400213 is about 1549.2620824121. The cubic root of 2400213 is about 133.8905507109.

Adding to 2400213 its reverse (3120042), we get a palindrome (5520255).

The spelling of 2400213 in words is "two million, four hundred thousand, two hundred thirteen".