2541114432401 has 8 divisors (see below), whose sum is σ = 2690619481440. Its totient is φ = 2391612464448.

The previous prime is 2541114432343. The next prime is 2541114432433. The reversal of 2541114432401 is 1042344111452.

2541114432401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-2541114432401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2541114432481) 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, 1050770 + ... + 2487236.

It is an arithmetic number, because the mean of its divisors is an integer number (336327435180).

Almost surely, 2^{2541114432401} is an apocalyptic number.

It is an amenable number.

2541114432401 is a deficient number, since it is larger than the sum of its proper divisors (149505049039).

2541114432401 is a wasteful number, since it uses less digits than its factorization.

2541114432401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540543.

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 2541114432401 its reverse (1042344111452), we get a palindrome (3583458543853).

The spelling of 2541114432401 in words is "two trillion, five hundred forty-one billion, one hundred fourteen million, four hundred thirty-two thousand, four hundred one".