2GB limit on file size when using fwrite in C?

I have a short C program that writes into a file until there is no more space on disk:

#include <stdio.h>

int main(void) {
  char c[] = "abcdefghij";
  size_t rez;
  FILE *f = fopen("filldisk.dat", "wb");
  while (1) {
    rez = fwrite(c, 1, sizeof(c), f);
    if (!rez) break;
  }
  fclose(f);
  return 0;
}

When I run the program (in Linux), it stops when the file reaches 2GB.

Is there an internal limitation, due to the FILE structure, or something?

Thanks.