2003667384257 has 8 divisors (see below), whose sum is σ = 2498078816832. Its totient is φ = 1561299260400.

The previous prime is 2003667384181. The next prime is 2003667384293. The reversal of 2003667384257 is 7524837663002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2003667384257 - 2¹⁴ = 2003667367873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003667384199 and 2003667384208.

It is not an unprimeable number, because it can be changed into a prime (2003667386257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13010827094 + ... + 13010827247.

It is an arithmetic number, because the mean of its divisors is an integer number (312259852104).

Almost surely, 2^{2003667384257} is an apocalyptic number.

It is an amenable number.

2003667384257 is a deficient number, since it is larger than the sum of its proper divisors (494411432575).

2003667384257 is a wasteful number, since it uses less digits than its factorization.

2003667384257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26021654359.

The product of its (nonzero) digits is 10160640, while the sum is 53.

The spelling of 2003667384257 in words is "two trillion, three billion, six hundred sixty-seven million, three hundred eighty-four thousand, two hundred fifty-seven".