2257687653907 has 64 divisors (see below), whose sum is σ = 2774007808000. Its totient is φ = 1834384799520.

The previous prime is 2257687653899. The next prime is 2257687653959. The reversal of 2257687653907 is 7093567867522.

It is not a de Polignac number, because 2257687653907 - 2³ = 2257687653899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2257687651907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106670308 + ... + 106691470.

It is an arithmetic number, because the mean of its divisors is an integer number (43343872000).

Almost surely, 2^{2257687653907} is an apocalyptic number.

2257687653907 is a deficient number, since it is larger than the sum of its proper divisors (516320154093).

2257687653907 is a wasteful number, since it uses less digits than its factorization.

2257687653907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21421 (or 21407 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 67.

The spelling of 2257687653907 in words is "two trillion, two hundred fifty-seven billion, six hundred eighty-seven million, six hundred fifty-three thousand, nine hundred seven".