2725842731157 has 288 divisors, whose sum is σ = 5403708710400. Its totient is φ = 1357246461312.

The previous prime is 2725842731149. The next prime is 2725842731159. The reversal of 2725842731157 is 7511372485272.

2725842731157 is a `hidden beast` number, since 2 + 7 + 2 + 584 + 2 + 7 + 3 + 1 + 1 + 57 = 666.

It is not a de Polignac number, because 2725842731157 - 2³ = 2725842731149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725842731159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 902894394 + ... + 902897412.

Almost surely, 2^{2725842731157} is an apocalyptic number.

2725842731157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2725842731157 is a deficient number, since it is larger than the sum of its proper divisors (2677865979243).

2725842731157 is a wasteful number, since it uses less digits than its factorization.

2725842731157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3368 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 2725842731157 in words is "two trillion, seven hundred twenty-five billion, eight hundred forty-two million, seven hundred thirty-one thousand, one hundred fifty-seven".