2541342400101 has 24 divisors (see below), whose sum is σ = 3732249470976. Its totient is φ = 1666004467680.

The previous prime is 2541342400063. The next prime is 2541342400109. The reversal of 2541342400101 is 1010042431452.

2541342400101 is a `hidden beast` number, since 2 + 5 + 413 + 4 + 240 + 0 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 2541342400101 - 2¹³ = 2541342391909 is a prime.

It is a super-2 number, since 2×2541342400101² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541342400109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4947250 + ... + 5436723.

It is an arithmetic number, because the mean of its divisors is an integer number (155510394624).

Almost surely, 2^{2541342400101} is an apocalyptic number.

It is an amenable number.

2541342400101 is a deficient number, since it is larger than the sum of its proper divisors (1190907070875).

2541342400101 is a wasteful number, since it uses less digits than its factorization.

2541342400101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10384433 (or 10384430 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2541342400101 its reverse (1010042431452), we get a palindrome (3551384831553).

The spelling of 2541342400101 in words is "two trillion, five hundred forty-one billion, three hundred forty-two million, four hundred thousand, one hundred one".