2400413413 has 8 divisors (see below), whose sum is σ = 2542042008. Its totient is φ = 2258832384.

The previous prime is 2400413401. The next prime is 2400413417. The reversal of 2400413413 is 3143140042.

It can be written as a sum of positive squares in 4 ways, for example, as 1049630404 + 1350783009 = 32398^2 + 36753^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2400413413 - 2⁹ = 2400412901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400413417) 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 in 7 ways as a sum of consecutive naturals, for example, 194845 + ... + 206797.

It is an arithmetic number, because the mean of its divisors is an integer number (317755251).

Almost surely, 2^2400413413 is an apocalyptic number.

It is an amenable number.

2400413413 is a deficient number, since it is larger than the sum of its proper divisors (141628595).

2400413413 is a wasteful number, since it uses less digits than its factorization.

2400413413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23783.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2400413413 is about 48994.0140527391. The cubic root of 2400413413 is about 1338.9427713852.

Adding to 2400413413 its reverse (3143140042), we get a palindrome (5543553455).

The spelling of 2400413413 in words is "two billion, four hundred million, four hundred thirteen thousand, four hundred thirteen".