2042678010257 has 2 divisors, whose sum is σ = 2042678010258. Its totient is φ = 2042678010256.

The previous prime is 2042678010161. The next prime is 2042678010277. The reversal of 2042678010257 is 7520108762402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2041252268176 + 1425742081 = 1428724^2 + 37759^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042678010257 - 2²² = 2042673815953 is a prime.

It is a super-3 number, since 3×2042678010257³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2042678010277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021339005128 + 1021339005129.

It is an arithmetic number, because the mean of its divisors is an integer number (1021339005129).

Almost surely, 2^{2042678010257} is an apocalyptic number.

It is an amenable number.

2042678010257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042678010257 is an equidigital number, since it uses as much as digits as its factorization.

2042678010257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 2042678010257 in words is "two trillion, forty-two billion, six hundred seventy-eight million, ten thousand, two hundred fifty-seven".