2400400013 has 8 divisors (see below), whose sum is σ = 2626125600. Its totient is φ = 2175925680.

The previous prime is 2400399971. The next prime is 2400400031. The reversal of 2400400013 is 3100040042.

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 2400400013 - 2¹⁶ = 2400334477 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 (2400405013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308795 + ... + 316472.

It is an arithmetic number, because the mean of its divisors is an integer number (328265700).

Almost surely, 2^2400400013 is an apocalyptic number.

It is an amenable number.

2400400013 is a deficient number, since it is larger than the sum of its proper divisors (225725587).

2400400013 is a wasteful number, since it uses less digits than its factorization.

2400400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625627.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2400400013 is about 48993.8773011486. The cubic root of 2400400013 is about 1338.9402798884.

Adding to 2400400013 its reverse (3100040042), we get a palindrome (5500440055).

The spelling of 2400400013 in words is "two billion, four hundred million, four hundred thousand, thirteen".