2400213405 has 16 divisors (see below), whose sum is σ = 3844445184. Its totient is φ = 1278745920.

The previous prime is 2400213383. The next prime is 2400213457. The reversal of 2400213405 is 5043120042.

It is not a de Polignac number, because 2400213405 - 2⁵ = 2400213373 is a prime.

It is a super-2 number, since 2×2400213405² = 11522048779083388050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70909 + ... + 99138.

It is an arithmetic number, because the mean of its divisors is an integer number (240277824).

Almost surely, 2^2400213405 is an apocalyptic number.

It is an amenable number.

2400213405 is a deficient number, since it is larger than the sum of its proper divisors (1444231779).

2400213405 is a wasteful number, since it uses less digits than its factorization.

2400213405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170996.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2400213405 is about 48991.9728629089. The cubic root of 2400213405 is about 1338.9055824156.

Adding to 2400213405 its reverse (5043120042), we get a palindrome (7443333447).

The spelling of 2400213405 in words is "two billion, four hundred million, two hundred thirteen thousand, four hundred five".