2541130411140 has 144 divisors (see below), whose sum is σ = 7771420343232. Its totient is φ = 672083612928.

The previous prime is 2541130411121. The next prime is 2541130411151. The reversal of 2541130411140 is 411140311452.

It is a happy number.

2541130411140 is a `hidden beast` number, since 2 + 541 + 1 + 3 + 0 + 4 + 1 + 114 + 0 = 666.

2541130411140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2541130411140⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15376027 + ... + 15540413.

It is an arithmetic number, because the mean of its divisors is an integer number (53968196828).

Almost surely, 2^{2541130411140} is an apocalyptic number.

2541130411140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541130411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885710171616).

2541130411140 is an abundant number, since it is smaller than the sum of its proper divisors (5230289932092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2541130411140 is a wasteful number, since it uses less digits than its factorization.

2541130411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165106 (or 165101 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 2541130411140 its reverse (411140311452), we get a palindrome (2952270722592).

The spelling of 2541130411140 in words is "two trillion, five hundred forty-one billion, one hundred thirty million, four hundred eleven thousand, one hundred forty".