2542400015305 has 16 divisors (see below), whose sum is σ = 3159436914000. Its totient is φ = 1961697821440.

The previous prime is 2542400015269. The next prime is 2542400015329. The reversal of 2542400015305 is 5035100042452.

It can be written as a sum of positive squares in 8 ways, for example, as 327747090064 + 2214652925241 = 572492^2 + 1488171^2 .

It is not a de Polignac number, because 2542400015305 - 2¹⁵ = 2542399982537 is a prime.

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, 9180130 + ... + 9453019.

It is an arithmetic number, because the mean of its divisors is an integer number (197464807125).

Almost surely, 2^{2542400015305} is an apocalyptic number.

It is an amenable number.

2542400015305 is a deficient number, since it is larger than the sum of its proper divisors (617036898695).

2542400015305 is a wasteful number, since it uses less digits than its factorization.

2542400015305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18634124.

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 2542400015305 its reverse (5035100042452), we get a palindrome (7577500057757).

The spelling of 2542400015305 in words is "two trillion, five hundred forty-two billion, four hundred million, fifteen thousand, three hundred five".