2042171257257 has 32 divisors (see below), whose sum is σ = 3062318837760. Its totient is φ = 1344856130640.

The previous prime is 2042171257237. The next prime is 2042171257267. The reversal of 2042171257257 is 7527521712402.

2042171257257 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 1 + 71 + 2 + 572 + 5 + 7 = 666.

It is not a de Polignac number, because 2042171257257 - 2⁸ = 2042171257001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2042171257237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16951408 + ... + 17071454.

It is an arithmetic number, because the mean of its divisors is an integer number (95697463680).

Almost surely, 2^{2042171257257} is an apocalyptic number.

2042171257257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2042171257257 is a deficient number, since it is larger than the sum of its proper divisors (1020147580503).

2042171257257 is a wasteful number, since it uses less digits than its factorization.

2042171257257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127730 (or 127724 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

Adding to 2042171257257 its reverse (7527521712402), we get a palindrome (9569692969659).

The spelling of 2042171257257 in words is "two trillion, forty-two billion, one hundred seventy-one million, two hundred fifty-seven thousand, two hundred fifty-seven".