2540535234401 has 8 divisors (see below), whose sum is σ = 2557121416200. Its totient is φ = 2523997622272.

The previous prime is 2540535234397. The next prime is 2540535234439. The reversal of 2540535234401 is 1044325350452.

It can be written as a sum of positive squares in 4 ways, for example, as 6118994176 + 2534416240225 = 78224^2 + 1591985^2 .

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 2540535234401 - 2² = 2540535234397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2540535234701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12037460 + ... + 12246693.

It is an arithmetic number, because the mean of its divisors is an integer number (319640177025).

Almost surely, 2^{2540535234401} is an apocalyptic number.

It is an amenable number.

2540535234401 is a deficient number, since it is larger than the sum of its proper divisors (16586181799).

2540535234401 is a wasteful number, since it uses less digits than its factorization.

2540535234401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24284835.

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 2540535234401 in words is "two trillion, five hundred forty billion, five hundred thirty-five million, two hundred thirty-four thousand, four hundred one".