2400240013 has 16 divisors (see below), whose sum is σ = 2631573360. Its totient is φ = 2179072000.

The previous prime is 2400240001. The next prime is 2400240079. The reversal of 2400240013 is 3100420042.

It can be written as a sum of positive squares in 8 ways, for example, as 1349313289 + 1050926724 = 36733^2 + 32418^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400240013 - 2²¹ = 2398142861 is a prime.

It is a super-2 number, since 2×2400240013² = 11522304240012480338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400210013) 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, 787773 + ... + 790813.

It is an arithmetic number, because the mean of its divisors is an integer number (164473335).

Almost surely, 2^2400240013 is an apocalyptic number.

It is an amenable number.

2400240013 is a deficient number, since it is larger than the sum of its proper divisors (231333347).

2400240013 is a wasteful number, since it uses less digits than its factorization.

2400240013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2400240013 is about 48992.2444168462. The cubic root of 2400240013 is about 1338.9105299574.

Adding to 2400240013 its reverse (3100420042), we get a palindrome (5500660055).

The spelling of 2400240013 in words is "two billion, four hundred million, two hundred forty thousand, thirteen".