2742530061141 has 96 divisors (see below), whose sum is σ = 4417971798240. Its totient is φ = 1628605440000.

The previous prime is 2742530061043. The next prime is 2742530061191. The reversal of 2742530061141 is 1411600352472.

2742530061141 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 5 + 30 + 0 + 611 + 4 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2576843615025 + 165686446116 = 1605255^2 + 407046^2 .

It is not a de Polignac number, because 2742530061141 - 2²² = 2742525866837 is a prime.

It is a super-2 number, since 2×2742530061141² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2742530061096 and 2742530061105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742530061191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322608391 + ... + 322616891.

It is an arithmetic number, because the mean of its divisors is an integer number (46020539565).

Almost surely, 2^{2742530061141} is an apocalyptic number.

It is an amenable number.

2742530061141 is a deficient number, since it is larger than the sum of its proper divisors (1675441737099).

2742530061141 is a wasteful number, since it uses less digits than its factorization.

2742530061141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9287 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2742530061141 in words is "two trillion, seven hundred forty-two billion, five hundred thirty million, sixty-one thousand, one hundred forty-one".