2541414001289 has 8 divisors (see below), whose sum is σ = 2544179925672. Its totient is φ = 2538648286720.

The previous prime is 2541414001283. The next prime is 2541414001319. The reversal of 2541414001289 is 9821004141452.

It can be written as a sum of positive squares in 4 ways, for example, as 87438490000 + 2453975511289 = 295700^2 + 1566517^2 .

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 2541414001289 - 2⁸ = 2541414001033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2541414001283) 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, 43878629 + ... + 43936509.

It is an arithmetic number, because the mean of its divisors is an integer number (318022490709).

Almost surely, 2^{2541414001289} is an apocalyptic number.

It is an amenable number.

2541414001289 is a deficient number, since it is larger than the sum of its proper divisors (2765924383).

2541414001289 is an equidigital number, since it uses as much as digits as its factorization.

2541414001289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104907.

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 2541414001289 in words is "two trillion, five hundred forty-one billion, four hundred fourteen million, one thousand, two hundred eighty-nine".